We show that the Suzuki group Sz(32) is a subgroup of E_8(5), and so is its automorphism group. Both are unique up to conjugacy in E_8(F) for any field F of characteristic 5, and the automorphism group Sz(32):5 is maximal in E_8(5)

Saxl, Jan

Wales, David B.

Wilson, Robert A.

English

Caltech Authors - Main

Embeddings of Sz(32) in E_8(5)

A .M .C o h e n ,M .W .L i e b e c k ,J .S a x

A world-wide-web atlas of group representations', http://www.mat.bham.ac.uk/atlas/ Saxl DPMMS University of Cambridge 16 Mill Lane Cambridge CB2 1SB

A world-wide-web atlas of group representations’, http://www.mat.bham.ac.uk/atlas/ Saxl DPMMS University of Cambridge 16 Mill Lane Cambridge CB2 1SB

An ATLAS of  groups

An Atlas of Brauer characters

Condensing tensor product modules', The Atlas ten years on,

Condensing tensor product modules’, The Atlas ten years on,

Embeddings of PSL(2; 32) and PGL(2; 31)

Embeddings of PSL(2; 41) and PSL(2; 49)

Embeddings of PSL(2;32) and PGL(2;31) in E8(C)',

Embeddings of PSL(2;41) and PSL(2;49) in E8(C)',

Embeddings of U3(8), Sz(8) and the Rudvalis group in algebraic groups of type E7',

Exemples de plongements des groupes PSL (F p ) dans des groupes de Lie simples’,

Exemples de plongements des groupes PSL2(Fp) dans des groupes de Lie simples',

Finite commutative Jordan subgroups of complex simple Lie groups',

Finite commutative Jordan subgroups of complex simple Lie groups’,

Finite simple groups which projectively embed in an exceptional Lie group are classi

Finite subgroups of E6(C) and F4(C)',

Finite subgroups of G2(C)',

Local representation theory

On  simple subgroups of the complex Lie group of type E ’,

On  simple subgroups of the complex Lie group of type E8',

On  subgroups of exceptional algebraic groups',

On  subgroups of exceptional algebraic groups’,

On a subgroup of order

On a subgroup of order 2 jGL(5; 2)j in

On certain  simple groups',

On certain  simple groups’, PhD Thesis,

Sporadic simple subgroups of  exceptional groups of Lie type',

Sporadic simple subgroups of  exceptional groups of Lie type’,

Subgroups of exceptional groups', Algebraic groups and their representations

Subgroups of exceptional groups’, Algebraic groups and their representations

The computer calculation of modular characters|the Meataxe', Computational group

The computer calculation of modular characters|the Meataxe’, Computational group

The group L(2; 61) embeds in the Lie group of type

The group L(2;61) embeds in the Lie group of type E8',

The local maximal subgroups of exceptional groups of Lie type,  and algebraic’,

The structure of  subgroups of simple algebraic groups',

The structure of  subgroups of simple algebraic groups’,

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Embeddings of Sz(32) in E_8(5)

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