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Results tagged with finite-groups
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user 166882
Questions on group theory which concern finite groups.
5
votes
2
answers
623
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Automorphism groups of simple groups of Lie type
$\DeclareMathOperator\PSL{PSL}\DeclareMathOperator\PGL{PGL}$In “Automorphisms of finite linear groups”, Steinberg proves that any automorphism of a simple group of Lie type (normal or twisted) is a pr …
- 71
2
votes
0
answers
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Sylow 2-subgroups of finite groups in which every subgroup of order 4 is cyclic
Let $G$ be a finite group. Assume that every subgroup of order 4 in $G$ is cyclic (as happens if $G$ is a cyclic group or a generalized quaternion group). It seems to me that it should follow that a S …
- 71