## Found 49 Documents (Results 1–49)

100
MathJax

### Overgroups of subsystem subgroups in exceptional groups: a $$2A_1$$-proof. (English. Russian original)Zbl 07436571

St. Petersbg. Math. J. 32, No. 6, 1011-1031 (2021); translation from Algebra Anal. 32, No. 6, 72-100 (2021).
MSC:  20G15
Full Text:

### The stabilizer of two-dimensional vector space of 27-dimensional module of type $$E_6$$ over a field of characteristic two. (English)Zbl 1477.17049

MSC:  17A75 17A45 17B25
Full Text:

### Overgroups of Levi subgroups. I: The case of abelian unipotent radical. (English. Russian original)Zbl 1484.20081

St. Petersbg. Math. J. 31, No. 6, 969-999 (2020); translation from Algebra Anal. 31, No. 6, 79-121 (2019).
MSC:  20G35 20E07
Full Text:

### On $$p$$-groups with automorphism groups related to the exceptional Chevalley groups. (English)Zbl 07251756

MSC:  20C33 20G15 20D15
Full Text:

### A geometry of the generalized quadrangle $$(\Omega, \mathfrak{L})$$ of type $$O_6^-(2)$$ and Lie algebras of type $$E_6$$ with characteristic two. (English)Zbl 1477.17048

MSC:  17A75 17A45 17B25
Full Text:

### Generalized reduced Mal’tsev problem on commutative subalgebras of $$E_6$$ type Chevalley algebras over a field. (English)Zbl 1457.17012

MSC:  17B25 17B30 17B45
Full Text:

### Isomorphisms and elementary equivalence of Chevalley groups over commutative rings. (English. Russian original)Zbl 1472.20110

Sb. Math. 210, No. 8, 1067-1091 (2019); translation from Mat. Sb. 210, No. 8, 3-28 (2019).
MSC:  20G35 20G41
Full Text:

### The distribution of the trace in the compact group of type $$\mathbf{G}_2$$. (English)Zbl 1443.11158

Aubry, Yves (ed.) et al., Arithmetic geometry: computation and applications. 16th international conference on arithmetic, geometry, cryptography, and coding theory, AGC2T, CIRM, Marseille, France, June 19–23, 2017. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 722, 79-103 (2019).
Full Text:

### On root-involutions and root-subgroups of $$E_6(K)$$ for fields $$K$$ of characteristic two. (English)Zbl 1467.17006

MSC:  17B25 17B45 20G15
Full Text:

### On Lie algebras of type $$F_4$$ and Chevalley groups $$F_4(K)$$, $$E_6(K)$$, and $$^2E_6(K)$$ for fields $$K$$ of characteristic two. (English)Zbl 1467.17007

MSC:  17B25 17A45 17A75
Full Text:

### Normalizer of the Chevalley group of type $$\mathrm{E}_7$$. (English. Russian original)Zbl 1361.20034

St. Petersbg. Math. J. 27, No. 6, 899-921 (2016); translation from Algebra Anal. 27, No. 6, 57-88 (2015).
Full Text:

### Exceptional knot homology. (English)Zbl 1342.57012

MSC:  57M27 81T30 33D80 20G41
Full Text:

### Calculations in exceptional groups, an update. (English. Russian original)Zbl 1328.20066

J. Math. Sci., New York 209, No. 6, 922-934 (2015); translation from Zap. Nauchn. Semin. POMI 432, 177-195 (2015).
MSC:  20G41 20G35 20G05
Full Text:

Full Text:

### Overgroups of subsystem subgroups in exceptional groups: levels. (English. Russian original)Zbl 1301.20043

J. Math. Sci., New York 192, No. 2, 164-195 (2013); translation from Zap. Nauchn. Sem. POMI 400, 70-126 (2012).
Full Text:

### Width of groups of type $$\mathrm E_6$$ with respect to root elements. II. (English. Russian original)Zbl 1306.20051

J. Math. Sci., New York 180, No. 3, 338-350 (2012); translation from Zap. Nauchn. Semin. POMI 386, 242-264 (2011).
MSC:  20G41 20F05 17B22
Full Text:

### $$A_3$$-proof of structure theorems for Chevalley groups of types $$E_6$$ and $$E_7$$. II: Main lemma. (English. Russian original)Zbl 1278.20065

St. Petersbg. Math. J. 23, No. 6, 921-942 (2012); translation from Algebra Anal. 23, No. 6, 1-31 (2011).
Full Text:

### Width of groups of type $$\mathrm E_6$$ with respect to root elements. I. (English. Russian original)Zbl 1277.20062

St. Petersbg. Math. J. 23, No. 5, 891-919 (2012); translation from Algebra Anal. 23, No. 5, 155-198 (2011).
MSC:  20G41 20F05 17B22
Full Text:

### Fourier coefficients of automorphic forms, character variety orbits, and small representations. (English)Zbl 1272.11062

MSC:  11F30 11F55
Full Text:

### Calculations in exceptional groups over rings. (English)Zbl 1288.20063

J. Math. Sci., New York 168, No. 3, 334-348 (2010) and Zap. Nauchn. Semin. POMI 373, 48-72 (2009).
MSC:  20G35 20G41 20H25
Full Text:

### Overgroups of $$F_4$$ in $$E_6$$ over commutative rings. (English. Russian original)Zbl 1206.20052

St. Petersbg. Math. J. 20, No. 6, 955-981 (2009); translation from Algebra Anal. 20, No. 6, 148-185 (2008).
Full Text:

### $$A_2$$-proof of structure theorems for Chevalley groups of type $$F_4$$. (English. Russian original)Zbl 1206.20055

St. Petersbg. Math. J. 20, No. 4, 527-551 (2009); translation from Algebra Anal. 20, No. 4, 27-63 (2008).
Full Text:

### Overgroups of semisimple groups. (Russian. English summary)Zbl 1322.20040

MSC:  20H25 20E07 20E15

### Basic reductions in the description of normal subgroups. (English. Russian original)Zbl 1312.20043

J. Math. Sci., New York 151, No. 3, 2949-2960 (2008); translation from Zap. Nauchn. Semin. POMI 349, 30-52 (2007).
Full Text:

### Normalizer of the Chevalley group of type $$E_6$$. (English. Russian original)Zbl 1206.20054

St. Petersbg. Math. J. 19, No. 5, 699-718 (2008); translation from Algebra Anal. 19, No. 5, 37-64 (2007).
Full Text:

### Structure of Chevalley groups: the proof from The Book. (Russian, English)Zbl 1162.20032

Zap. Nauchn. Semin. POMI 330, 36-76 (2006); translation in J. Math. Sci., New York 140, No. 5, 626-645 (2006).
MSC:  20G35 20E15 20E07
Full Text:

### Affine distance-transitive graphs and exceptional Chevalley groups. (English)Zbl 1047.20004

MSC:  20B25 05C25 05E30
Full Text:

Full Text:

Full Text:

Full Text:

### On the lattice of overgroups of a maximal torus in the Chevalley group $$G_2$$. (Russian. English summary)Zbl 0945.20029

MSC:  20G40 20D06 20D30

### On the computation of conjugacy classes of Chevalley groups. (English)Zbl 0882.20031

MSC:  20G40 20C40 20C33
Full Text:

### Cyclic TI-subgroups of order 4 in exceptional Chevalley groups. (Russian. English summary)Zbl 0867.20017

MSC:  20D06 20D25

Full Text:

Full Text:

MSC:  20C33
Full Text:

### Triality, exceptional Lie groups Dirac operators. (English)Zbl 0850.17001

Hu, B. L. (ed.) et al., Directions in general relativity. Proceedings of the international symposium held at the University of Maryland, College Park, MD, USA, May 27-29, 1993. Papers in honor of Charles Misner on the occasion of his 60th birthday. Vol. 2. Cambridge: Cambridge University Press. 125-128 (1993).
MSC:  17B25 53C27 53C55

### Spinor construction of vertex operator algebras, triality, and $$E_ 8^{(1)}$$. (English)Zbl 0743.17029

Contemporary Mathematics. 121. Providence, RI: American Mathematical Society (AMS). ix, 146 p. (1991).
Full Text:

### Elementary abelian p-subgroups of algebraic groups. (English)Zbl 0733.20023

MSC:  20G15 20E07
Full Text:

Full Text:

### Atlas of finite groups. Maximal subgroups and ordinary characters for simple groups. With comput. assist. from J. G. Thackray. (English)Zbl 0568.20001

Oxford: Clarendon Press. XXXIII, 252 p. £35.00 (1985).
Reviewer: U.Dempwolff

### Définition par générateurs et rélations de groupes avec BN-paires. (French)Zbl 0548.20019

Reviewer: J.F.Hurley

Full Text:

### Exceptional Lie algebras and related algebraic and geometric structures. (English)Zbl 0349.17004

Reviewer: J. R. Faulkner
MSC:  17B25 17C40 17D05
Full Text:

all top 5

all top 3

all top 3