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Macbeath, A. Murray

Author ID: macbeath.a-murray Recent zbMATH articles by "Macbeath, A. Murray"
Published as: Macbeath, A. M.; Macbeath, A. Murray
External Links: MGP · Wikidata
Documents Indexed: 48 Publications since 1947, including 1 Book
1 Further Contribution
Co-Authors: 7 Co-Authors with 11 Joint Publications
89 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 614 times in 539 Documents Cited by Year
The classification of non-euclidean plane crystallographic groups. Zbl 0183.03402
Macbeath, A. M.
131
1967
Generators of the linear fractional groups. Zbl 0192.35703
Macbeath, A. M.
66
1969
On a theorem of Hurwitz. Zbl 0134.16603
Macbeath, A. M.
60
1961
Action of automorphisms of a compact Riemann surface on the first homology group. Zbl 0259.30016
Macbeath, A. M.
40
1973
On the measure of sum-sets. I. The theorems of Brunn, Minkowski and Lusternik. Zbl 0052.18302
Henstock, Ralph; Macbeath, A. M.
40
1953
On a curve of genus 7. Zbl 0146.42705
Macbeath, A. M.
39
1965
Groups of homeomorphisms of a simply connected space. Zbl 0122.17503
Macbeath, A. M.
35
1964
Spaces of subgroups and Teichmüller space. Zbl 0314.32012
Macbeath, A. M.; Singerman, D.
35
1975
A compactness theorem for affine equivalence-classes of convex regions. Zbl 0042.16401
Macbeath, A. M.
30
1951
An extremal property of the hypersphere. Zbl 0042.40801
Macbeath, A. M.
18
1951
On measure of sum sets. II. The sum-theorem for the torus. Zbl 0052.26301
Macbeath, A. M.
16
1953
A theorem on non-homogeneous lattices. Zbl 0047.04903
Macbeath, A. M.
11
1952
Discrete groups and automorphic functions. Proceedings of an instructional conference organized by the London Mathematical Society and the University of Cambridge (a NATO Advanced Study Institute). Zbl 0411.30033
10
1977
On the set of generators of a subgroup. Zbl 0118.26503
Macbeath, A. M.; Swierczkowski, S.
9
1959
Packings, free products and residually finite groups. Zbl 0118.03204
Macbeath, A. M.
9
1963
Factorization of matrices and Minkowski’s conjecture. Zbl 0098.26303
Macbeath, A. M.
8
1961
Commensurability of co-compact three-dimensional hyperbolic groups. Zbl 0588.22009
Macbeath, A. M.
8
1983
Residual nilpotency of Fuchsian groups. Zbl 0539.20026
Macbeath, A. M.
6
1984
Groups of hyperbolic crystallography. Zbl 0338.20056
Macbeath, A. M.; Hoare, A. H. M.
6
1976
Siegel’s mean value theorem in the geometry of numbers. Zbl 0080.26601
Macbeath, A. M.; Rogers, C. A.
6
1958
On a theorem by J. Nielsen. Zbl 0128.30301
Macbeath, A. M.
6
1962
Limits of lattices in a compactly generated group. Zbl 0097.03301
Macbeath, A. M.; Swierczkowski, S.
5
1960
Hurwitz groups and surfaces. Zbl 0965.30013
Macbeath, A. Murray
4
1999
Extensions of the rationals with Galois group \(\mathrm{PGL}(2,\mathbb Z_n)\). Zbl 0184.07603
Macbeath, A. M.
4
1969
A new sequence of minima of minima in the geometry of numbers. Zbl 0042.04602
Macbeath, A. M.
4
1951
Centralizers of reflections in crystallographic groups. Zbl 0487.20034
Baskan, T.; Macbeath, A. M.
3
1982
The volume of a certain set of matrices. Zbl 0087.01903
Jack, Henry; Macbeath, A. M.
3
1959
On convex fundamental regions for a lattice. Zbl 0103.27603
Macbeath, A. M.
2
1961
On the measure of product sets in a topological group. Zbl 0116.26302
Macbeath, A. M.
2
1960
Generic Dirichlet polygons and the modular group. Zbl 0582.30031
Macbeath, A. M.
2
1985
Superimprimitive 2-generator finite groups. Zbl 0627.20003
Macbeath, A. M.
1
1987
A modified form of Siegel’s mean-value theorem. Zbl 0065.28101
Macbeath, A. M.; Rogers, C. A.
1
1955
Measures in homogeneous spaces. Zbl 0096.02201
Macbeath, A. M.; Świerczkowski, S.
1
1960
On measure of sumsets. III: The continuous \((\alpha+\beta)\)-theorem. Zbl 0112.28501
Macbeath, A. M.
1
1961
Non-convex regions in three and more dimensions. Zbl 0032.40301
Macbeath, A. M.
1
1949
Non-homogeneous lattices in the plane. Zbl 0049.16501
Macbeath, A. M.
1
1952
Hurwitz groups and surfaces. Zbl 0965.30013
Macbeath, A. Murray
4
1999
Superimprimitive 2-generator finite groups. Zbl 0627.20003
Macbeath, A. M.
1
1987
Generic Dirichlet polygons and the modular group. Zbl 0582.30031
Macbeath, A. M.
2
1985
Residual nilpotency of Fuchsian groups. Zbl 0539.20026
Macbeath, A. M.
6
1984
Commensurability of co-compact three-dimensional hyperbolic groups. Zbl 0588.22009
Macbeath, A. M.
8
1983
Centralizers of reflections in crystallographic groups. Zbl 0487.20034
Baskan, T.; Macbeath, A. M.
3
1982
Discrete groups and automorphic functions. Proceedings of an instructional conference organized by the London Mathematical Society and the University of Cambridge (a NATO Advanced Study Institute). Zbl 0411.30033
10
1977
Groups of hyperbolic crystallography. Zbl 0338.20056
Macbeath, A. M.; Hoare, A. H. M.
6
1976
Spaces of subgroups and Teichmüller space. Zbl 0314.32012
Macbeath, A. M.; Singerman, D.
35
1975
Action of automorphisms of a compact Riemann surface on the first homology group. Zbl 0259.30016
Macbeath, A. M.
40
1973
Generators of the linear fractional groups. Zbl 0192.35703
Macbeath, A. M.
66
1969
Extensions of the rationals with Galois group \(\mathrm{PGL}(2,\mathbb Z_n)\). Zbl 0184.07603
Macbeath, A. M.
4
1969
The classification of non-euclidean plane crystallographic groups. Zbl 0183.03402
Macbeath, A. M.
131
1967
On a curve of genus 7. Zbl 0146.42705
Macbeath, A. M.
39
1965
Groups of homeomorphisms of a simply connected space. Zbl 0122.17503
Macbeath, A. M.
35
1964
Packings, free products and residually finite groups. Zbl 0118.03204
Macbeath, A. M.
9
1963
On a theorem by J. Nielsen. Zbl 0128.30301
Macbeath, A. M.
6
1962
On a theorem of Hurwitz. Zbl 0134.16603
Macbeath, A. M.
60
1961
Factorization of matrices and Minkowski’s conjecture. Zbl 0098.26303
Macbeath, A. M.
8
1961
On convex fundamental regions for a lattice. Zbl 0103.27603
Macbeath, A. M.
2
1961
On measure of sumsets. III: The continuous \((\alpha+\beta)\)-theorem. Zbl 0112.28501
Macbeath, A. M.
1
1961
Limits of lattices in a compactly generated group. Zbl 0097.03301
Macbeath, A. M.; Swierczkowski, S.
5
1960
On the measure of product sets in a topological group. Zbl 0116.26302
Macbeath, A. M.
2
1960
Measures in homogeneous spaces. Zbl 0096.02201
Macbeath, A. M.; Świerczkowski, S.
1
1960
On the set of generators of a subgroup. Zbl 0118.26503
Macbeath, A. M.; Swierczkowski, S.
9
1959
The volume of a certain set of matrices. Zbl 0087.01903
Jack, Henry; Macbeath, A. M.
3
1959
Siegel’s mean value theorem in the geometry of numbers. Zbl 0080.26601
Macbeath, A. M.; Rogers, C. A.
6
1958
A modified form of Siegel’s mean-value theorem. Zbl 0065.28101
Macbeath, A. M.; Rogers, C. A.
1
1955
On the measure of sum-sets. I. The theorems of Brunn, Minkowski and Lusternik. Zbl 0052.18302
Henstock, Ralph; Macbeath, A. M.
40
1953
On measure of sum sets. II. The sum-theorem for the torus. Zbl 0052.26301
Macbeath, A. M.
16
1953
A theorem on non-homogeneous lattices. Zbl 0047.04903
Macbeath, A. M.
11
1952
Non-homogeneous lattices in the plane. Zbl 0049.16501
Macbeath, A. M.
1
1952
A compactness theorem for affine equivalence-classes of convex regions. Zbl 0042.16401
Macbeath, A. M.
30
1951
An extremal property of the hypersphere. Zbl 0042.40801
Macbeath, A. M.
18
1951
A new sequence of minima of minima in the geometry of numbers. Zbl 0042.04602
Macbeath, A. M.
4
1951
Non-convex regions in three and more dimensions. Zbl 0032.40301
Macbeath, A. M.
1
1949
all top 5

Cited by 528 Authors

31 Bujalance, Emilio
24 Gromadzki, Grzegorz
19 Costa Gonzáles, Antonio Félix
17 Conder, Marston Donald Edward
15 Martinez, Ernesto C.
14 Etayo Gordejuela, José Javier
12 Cirre, Francisco-Javier
12 May, Coy L.
11 Izquierdo, Milagros
10 Tyszkowska, Ewa
8 Jones, Gareth A.
8 Reyes-Carocca, Sebastián
8 Singerman, David
7 Estrada, Beatriz
7 Nedela, Roman
7 Zimmermann, Bruno P.
6 Hidalgo, Rubén Antonio
6 Wootton, Aaron
5 Broughton, S. Allen
5 Gamboa Mutuberria, José Manuel
5 Gruber, Peter Manfred
5 Kozłowska-Walania, Ewa
5 Macbeath, A. Murray
5 Melekoğlu, Adnan
5 Szirmai, Jenó
4 Bacelo, Adrián
4 Bárány, Imre
4 Bujalance, José A.
4 Forrester, Peter J.
4 Groemer, Helmut
4 Klee, Victor LaRue
4 Mednykh, Aleksandr Dmitrievich
4 Mednykh, Il’ya Aleksandrovich
4 Molnár, Emil
4 Reid, Alan W.
4 Širáň, Jozef
4 Škoviera, Martin
4 Tamburini, Maria Chiara
4 Turbek, Peter
4 Vsemirnov, Maxim
4 Zimmerman, Jay J.
3 Bagiński, Czesław
3 Gritzmann, Peter
3 Hamrouni, Hatem
3 Klartag, Bo’az
3 Kwak, Jin Ho
3 Larman, David G.
3 Lučić, Zoran
3 McCullough, Darryl
3 Monod, Nicolas
3 Morifuji, Takayuki
3 Mushtaq, Qaiser
3 Neumann, Walter David
3 Pellegrini, Marco Antonio
3 Porto, Ana Maria
3 Salani, Paolo
3 Satomi, Takashi
3 Schütt, Carsten
3 Surowski, David B.
3 Szepietowski, Błażej
3 Zieschang, Heiner
2 Aggarwal, Satish Kumar
2 Antonyan, Sergey A.
2 Barthe, Franck
2 Barthel, Woldemar
2 Bennett, Curtis D.
2 Bobkov, Sergey Germanovich
2 Bokowski, Jürgen G.
2 Böröczky, Karoly jun.
2 Brin, Matthew G.
2 Caprace, Pierre-Emmanuel
2 Carocca, Angel
2 Chazelle, Bernard
2 Chen, Su-Shing
2 Chen, William Yun
2 Cortázar, Ismael
2 de Roton, Anne
2 del Río, Angel
2 Dinghas, Alexander
2 Du, Shaofei
2 Dumir, Vishwa Chander
2 Fainleib, A. S.
2 Galicer, Daniel
2 Georgakopoulos, Agelos
2 Gévay, Gábor E.
2 Gilman, Jane P.
2 Girondo, Ernesto
2 González-Diez, Gabino
2 Gözütok, Nazlı Yazıcı
2 Griesmer, John T.
2 Güler, Bahadır Özgür
2 Gupta, Dharma P.
2 Hoare, A. Howard M.
2 Hughes, Sam
2 Jespers, Eric
2 Kato, Takao
2 Kellendonk, Johannes
2 Khrabrov, A. I.
2 Kiefer, Ann
2 Kolbe, Benedikt
...and 428 more Authors
all top 5

Cited in 161 Serials

34 Journal of Algebra
21 Journal of Pure and Applied Algebra
20 Mathematische Annalen
17 Archiv der Mathematik
17 Mathematische Zeitschrift
15 Proceedings of the American Mathematical Society
13 Israel Journal of Mathematics
13 Glasgow Mathematical Journal
13 Transactions of the American Mathematical Society
10 Advances in Mathematics
10 Geometriae Dedicata
10 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
9 Journal of Number Theory
9 Topology and its Applications
9 Discrete & Computational Geometry
8 Revista Matemática Iberoamericana
7 Communications in Algebra
7 Journal of Soviet Mathematics
7 Manuscripta Mathematica
7 Mathematika
7 European Journal of Combinatorics
7 Acta Mathematica Sinica. English Series
6 Mathematical Proceedings of the Cambridge Philosophical Society
5 Acta Mathematica
5 Monatshefte für Mathematik
5 Revista Matemática Complutense
5 Journal of Algebra and its Applications
4 Discrete Mathematics
4 Mathematical Notes
4 Rocky Mountain Journal of Mathematics
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Duke Mathematical Journal
4 Journal of Combinatorial Theory. Series B
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 International Journal of Mathematics
4 Bulletin of the American Mathematical Society. New Series
4 Experimental Mathematics
4 Annals of Mathematics. Second Series
4 Advances in Geometry
4 Algebraic & Geometric Topology
4 The Art of Discrete and Applied Mathematics
3 Journal of Mathematical Analysis and Applications
3 Journal of Mathematical Physics
3 Annales de l’Institut Fourier
3 Inventiones Mathematicae
3 Kodai Mathematical Journal
3 Osaka Journal of Mathematics
3 Siberian Mathematical Journal
3 Linear Algebra and its Applications
3 Expositiones Mathematicae
3 Journal of Algebraic Combinatorics
3 Mediterranean Journal of Mathematics
3 Bulletin of the American Mathematical Society
2 Bulletin of the Australian Mathematical Society
2 Periodica Mathematica Hungarica
2 Beiträge zur Algebra und Geometrie
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Algebra and Logic
2 Bulletin of the London Mathematical Society
2 Journal of Approximation Theory
2 Journal of the Mathematical Society of Japan
2 Nagoya Mathematical Journal
2 Results in Mathematics
2 Combinatorica
2 Graphs and Combinatorics
2 International Journal of Algebra and Computation
2 Differential Geometry and its Applications
2 The Journal of Geometric Analysis
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Journal de Théorie des Nombres de Bordeaux
2 Journal of Mathematical Sciences (New York)
2 St. Petersburg Mathematical Journal
2 The Electronic Journal of Combinatorics
2 Buletinul Academiei de Științe a Republicii Moldova. Matematica
2 Transformation Groups
2 Conformal Geometry and Dynamics
2 Journal of the Australian Mathematical Society
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Computational Methods and Function Theory
2 Kodai Mathematical Seminar Reports
2 Proceedings of the Steklov Institute of Mathematics
2 Groups, Geometry, and Dynamics
2 Albanian Journal of Mathematics
2 Ars Mathematica Contemporanea
1 Applicable Analysis
1 Communications on Pure and Applied Mathematics
1 Mathematics of Computation
1 Journal of Geometry and Physics
1 The Mathematical Intelligencer
1 Boletim da Sociedade Brasileira de Matemática
1 Bulletin de la Société Mathématique de France
1 Collectanea Mathematica
1 Commentarii Mathematici Helvetici
1 Compositio Mathematica
1 Computing
1 Indiana University Mathematics Journal
1 Journal of Functional Analysis
1 Journal of the London Mathematical Society. Second Series
1 Journal of Multivariate Analysis
1 Mathematica Slovaca
...and 61 more Serials
all top 5

Cited in 46 Fields

199 Group theory and generalizations (20-XX)
181 Functions of a complex variable (30-XX)
121 Algebraic geometry (14-XX)
91 Convex and discrete geometry (52-XX)
90 Manifolds and cell complexes (57-XX)
76 Number theory (11-XX)
52 Combinatorics (05-XX)
39 Topological groups, Lie groups (22-XX)
21 Differential geometry (53-XX)
21 Probability theory and stochastic processes (60-XX)
19 Several complex variables and analytic spaces (32-XX)
16 Geometry (51-XX)
12 Real functions (26-XX)
10 Measure and integration (28-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Abstract harmonic analysis (43-XX)
7 Global analysis, analysis on manifolds (58-XX)
6 Field theory and polynomials (12-XX)
6 Algebraic topology (55-XX)
6 Computer science (68-XX)
5 Associative rings and algebras (16-XX)
5 Difference and functional equations (39-XX)
5 Functional analysis (46-XX)
5 General topology (54-XX)
4 Special functions (33-XX)
3 History and biography (01-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
2 General and overarching topics; collections (00-XX)
2 General algebraic systems (08-XX)
2 \(K\)-theory (19-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Statistics (62-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Operations research, mathematical programming (90-XX)
2 Information and communication theory, circuits (94-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Commutative algebra (13-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 Partial differential equations (35-XX)
1 Approximations and expansions (41-XX)
1 Quantum theory (81-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Mathematics education (97-XX)

Citations by Year

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