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## Schenkman, Eugene

Compute Distance To:
 Author ID: schenkman.eugene Published as: Schenkman, E.; Schenkman, E. V.; Schenkman, Eugene External Links: MGP
 Documents Indexed: 38 Publications since 1951, including 1 Book

#### Co-Authors

 35 single-authored 1 Auslander, Louis 1 Scott, Waymond R. jun. 1 Wade, L. I.
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#### Serials

 16 Proceedings of the American Mathematical Society 6 American Mathematical Monthly 3 Illinois Journal of Mathematics 2 Archiv der Mathematik 2 Pacific Journal of Mathematics 1 Mathematics Magazine 1 American Journal of Mathematics 1 Duke Mathematical Journal 1 Portugaliae Mathematica 1 Annals of Mathematics. Second Series 1 Journal of the London Mathematical Society
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#### Fields

 6 Group theory and generalizations (20-XX) 2 Nonassociative rings and algebras (17-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX)

#### Citations contained in zbMATH Open

28 Publications have been cited 195 times in 185 Documents Cited by Year
Group theory. (The University Series in Higher Mathematics). Zbl 0133.27302
Schenkman, E.
1965
On the norm of a group. Zbl 0099.25104
Schenkman, Eugene
1960
A theory of subinvariant Lie algebras. Zbl 0054.01804
Schenkman, Eugene
1951
The splitting of certain solvable groups. Zbl 0066.01501
Schenkman, Eugene
1955
The equation $$a^n b^n=c^n$$ in a free group. Zbl 0090.24501
Schenkman, Eugene
1959
Free groups, Hirsch-Plotkin radicals, and applications to geometry. Zbl 0132.01205
Auslander, Louis; Schenkman, E.
1965
A generalization of the central elements of a group. Zbl 0050.25503
Schenkman, Eugene
1953
The existence of outer automorphisms of some nilpotent groups of class 2. Zbl 0065.25601
Schenkman, Eugene
1955
A group theoretic presentation of the alternating group on five symbols, $$A_5$$. Zbl 0307.20020
Schenkman, Eugene
1975
The general product of two finitely generated abelian groups. Zbl 0174.30803
Schenkman, E.
1969
A generalization of the Cartan-Brauer-Hua theorem. Zbl 0096.02405
Schenkman, Eugene; Scott, W. R.
1960
On the derivation algebra and the holomorph of a nilpotent algebra. Zbl 0064.26903
Schenkman, Eugene
1955
On the multiplicative group of a field. Zbl 0126.06801
Schenkman, E.
1964
The similarity between the properties of ideals in commutative rings and the properties of normal subgroups of groups. Zbl 0089.01402
Schenkman, Eugene
1958
Infinite Lie algebras. Zbl 0047.03403
Schenkman, Eugene
1952
The basis theorem for finitely generated Abelian groups. Zbl 0102.26703
Schenkman, Eugene
1960
Some remarks on the multiplicative group of a sfield. Zbl 0093.25603
Schenkman, Eugene
1958
A characterization of some metacyclic groups. Zbl 0166.28504
Schenkman, E.
1957
A factorization theorem for groups and Lie algebras. Zbl 0376.20023
Schenkman, Eugene
1978
Groups with finite number of Sylow $$\Lambda$$-subgroups. Zbl 0311.20019
Schenkman, Eugene
1976
The tower theorem for finite groups. Zbl 0177.03802
Schenkman, E.
1969
Some criteria for nilpotency in groups and Lie algebras. Zbl 0176.29804
Schenkman, E.
1969
A replacement theorem for nilpotent groups with maximum condition. Zbl 0159.30702
Schenkman, E.
1968
Some two-generator groups with two relations. Zbl 0189.30803
Schenkman, Eugene
1967
On a theorem of Herstein. Zbl 0092.27101
Schenkman, Eugene
1959
The mapping which takes each element of a group onto its $$n$$-th power. Zbl 0079.02901
1958
On the tower theorem for finite groups. Zbl 0067.25902
Schenkman, Eugene
1955
On the structure of the automorphism group of a nilpotent group. Zbl 0057.25701
Schenkman, Eugene
1954
A factorization theorem for groups and Lie algebras. Zbl 0376.20023
Schenkman, Eugene
1978
Groups with finite number of Sylow $$\Lambda$$-subgroups. Zbl 0311.20019
Schenkman, Eugene
1976
A group theoretic presentation of the alternating group on five symbols, $$A_5$$. Zbl 0307.20020
Schenkman, Eugene
1975
The general product of two finitely generated abelian groups. Zbl 0174.30803
Schenkman, E.
1969
The tower theorem for finite groups. Zbl 0177.03802
Schenkman, E.
1969
Some criteria for nilpotency in groups and Lie algebras. Zbl 0176.29804
Schenkman, E.
1969
A replacement theorem for nilpotent groups with maximum condition. Zbl 0159.30702
Schenkman, E.
1968
Some two-generator groups with two relations. Zbl 0189.30803
Schenkman, Eugene
1967
Group theory. (The University Series in Higher Mathematics). Zbl 0133.27302
Schenkman, E.
1965
Free groups, Hirsch-Plotkin radicals, and applications to geometry. Zbl 0132.01205
Auslander, Louis; Schenkman, E.
1965
On the multiplicative group of a field. Zbl 0126.06801
Schenkman, E.
1964
On the norm of a group. Zbl 0099.25104
Schenkman, Eugene
1960
A generalization of the Cartan-Brauer-Hua theorem. Zbl 0096.02405
Schenkman, Eugene; Scott, W. R.
1960
The basis theorem for finitely generated Abelian groups. Zbl 0102.26703
Schenkman, Eugene
1960
The equation $$a^n b^n=c^n$$ in a free group. Zbl 0090.24501
Schenkman, Eugene
1959
On a theorem of Herstein. Zbl 0092.27101
Schenkman, Eugene
1959
The similarity between the properties of ideals in commutative rings and the properties of normal subgroups of groups. Zbl 0089.01402
Schenkman, Eugene
1958
Some remarks on the multiplicative group of a sfield. Zbl 0093.25603
Schenkman, Eugene
1958
The mapping which takes each element of a group onto its $$n$$-th power. Zbl 0079.02901
1958
A characterization of some metacyclic groups. Zbl 0166.28504
Schenkman, E.
1957
The splitting of certain solvable groups. Zbl 0066.01501
Schenkman, Eugene
1955
The existence of outer automorphisms of some nilpotent groups of class 2. Zbl 0065.25601
Schenkman, Eugene
1955
On the derivation algebra and the holomorph of a nilpotent algebra. Zbl 0064.26903
Schenkman, Eugene
1955
On the tower theorem for finite groups. Zbl 0067.25902
Schenkman, Eugene
1955
On the structure of the automorphism group of a nilpotent group. Zbl 0057.25701
Schenkman, Eugene
1954
A generalization of the central elements of a group. Zbl 0050.25503
Schenkman, Eugene
1953
Infinite Lie algebras. Zbl 0047.03403
Schenkman, Eugene
1952
A theory of subinvariant Lie algebras. Zbl 0054.01804
Schenkman, Eugene
1951
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#### Cited by 240 Authors

 5 Schenkman, Eugene 4 Baumslag, Gilbert 4 de Giovanni, Francesco 4 Meng, Daoji 4 Stewart, Ian Nicholas 3 Amberg, Bernhard 3 Barnes, Donald W. 3 Bryce, Robert Aitken 3 De Falco, Maria 3 Guo, Xiuyun 3 Kappe, Luise-Charlotte 3 Kappe, Wolfgang P. 3 Longobardi, Patrizia 3 Maj, Mercede 3 Musella, Carmela 3 Saracino, Dan 2 Amayo, Ralph K. 2 Ancochea Bermúdez, José María 2 Cossey, John 2 Dixon, Martyn Russell 2 Evans, Martin J. 2 Ferrara, Maria 2 Herzog, Marcel 2 Kurdachenko, Leonid Andriĭovych 2 Lashkhi, Alexander A. 2 Luks, Eugene M. 2 Martino, Enrico 2 Menegazzo, Federico 2 Napolitani, Franco 2 Niroomand, Peyman 2 Robinson, Derek J. S. 2 Saeedi, Farshid 2 Scimemi, Benedetto 2 Shen, Zhencai 2 Stitzinger, Ernest Lester 2 Sysak, Yaroslav P. 2 Tamura, Takayuki 2 Trombetti, Marco 2 Wang, Dengyin 2 Winter, David J. 2 Wood, Carol 2 Wu, Mingzhong 2 Zhu, Linsheng 1 Aaghabali, Mehdi 1 Abian, Alexander 1 Adney, Joseph E. 1 Alemi, Mohammad Reza 1 Almaraz-Luengo, Elena 1 Amiri, Mahdi 1 Ariannejad, Masoud 1 Artemovych, Orest Dem”yanovych 1 Asar, Ali Osman 1 Aubert, Karl Egil 1 Aytekin, Arda 1 Bachmuth, Seymour 1 Baer, Reinhold 1 Ballester-Bolinches, Adolfo 1 Banakh, Taras Onufrievich 1 Barati, Mohammad Reza 1 Baublag, G. 1 Bell, Howard Edwin 1 Boccioni, Domenico 1 Brady, Noel 1 Brandl, Rolf 1 Bray, John N. 1 Bruno, Brunella 1 Buchthal, David C. 1 Busetto, Giorgio 1 Camina, Alan R. 1 Campoamor-Stursberg, Rutwig 1 Casas Miras, José Manuel 1 Chebolu, Sunil K. 1 Chen, Xiaoyu 1 Chen, Yibao 1 Chunikhin, Sergeĭ Antonovich 1 Ciobanu, Laura 1 Conder, Marston D. E. 1 Cooper, Christopher D. H. 1 Cui, Li 1 Cutler, Doyle O. 1 Cutolo, Giovanni 1 Dark, Rex S. 1 de Miranda, A. B. 1 de Ruiter, Jan 1 De Vivo, Clorinda 1 de Vries, Hendrik 1 Deskins, W. E. 1 Dixmier, Suzanne 1 Durbin, John R. 1 Durnev, Valeriĭ Georgievich 1 Evan, Joseph 1 Evans, David M. 1 Exoo, Geoffrey 1 Favre, Gabriel 1 Fay, Temple H. 1 Feldvoss, Jörg 1 Fernández López, Antonio 1 Flanigan, Francis J. 1 Fleischer, Isidore 1 Formanek, Edward W. ...and 140 more Authors
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#### Cited in 59 Serials

 39 Journal of Algebra 22 Proceedings of the American Mathematical Society 11 Rendiconti del Seminario Matematico della Università di Padova 8 Mathematische Zeitschrift 7 Archiv der Mathematik 6 Communications in Algebra 6 Journal of Pure and Applied Algebra 5 Compositio Mathematica 5 Transactions of the American Mathematical Society 4 Linear and Multilinear Algebra 4 Journal of Soviet Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Mathematische Annalen 3 Linear Algebra and its Applications 3 Journal of Group Theory 3 Journal of Algebra and its Applications 2 Mathematical Notes 2 Czechoslovak Mathematical Journal 2 Manuscripta Mathematica 2 Annals of Pure and Applied Logic 2 Journal of the Australian Mathematical Society 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Bulletin of the American Mathematical Society 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Archive for History of Exact Sciences 1 Bulletin of the Australian Mathematical Society 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Ukrainian Mathematical Journal 1 Acta Mathematica 1 Algebra and Logic 1 Bulletin de la Société Mathématique de France 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 Monatshefte für Mathematik 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Semigroup Forum 1 Theoretical Computer Science 1 Topology and its Applications 1 European Journal of Combinatorics 1 Note di Matematica 1 Acta Mathematica Hungarica 1 Journal of Symbolic Computation 1 SIAM Journal on Discrete Mathematics 1 International Journal of Algebra and Computation 1 Expositiones Mathematicae 1 Acta Mathematica Sinica. English Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 Proceedings of the Japan Academy 1 Bulletin de la Société Mathématique de France. Supplément. Mémoires 1 Matematický Časopis, Slovenskej Akadémie Vied 1 Frontiers of Mathematics in China 1 Groups, Geometry, and Dynamics 1 Asian-European Journal of Mathematics 1 São Paulo Journal of Mathematical Sciences
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#### Cited in 20 Fields

 104 Group theory and generalizations (20-XX) 40 Nonassociative rings and algebras (17-XX) 14 Associative rings and algebras (16-XX) 7 Mathematical logic and foundations (03-XX) 7 Combinatorics (05-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 3 Number theory (11-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Information and communication theory, circuits (94-XX)