Generation of Finite Groups of Lie Type
Copyright policy )Generation of Finite Groups of Lie Type
Let p p be an odd prime and G G a finite group of Lie type in characteristic other than p p . Fix an elementary abelian p p -subgroup of Aut ( G ) \operatorname {Aut} (G) . It is shown that in most cases G G is generated by the centralizers of the maximal subgroups of E E . Results are established concerning the notions of layer generation and balance, and the strongly p p -embedded subgroups of Aut ( G ) \operatorname {Aut} (G) are determined.
Generators, relations, and presentations of groups, layer generation, local balance, Automorphisms of abstract finite groups, groups of characteristic two type, finite simple groups, p-rank, Finite simple groups and their classification, finite groups of Lie type, strongly p-embedded subgroups, signalizer functors
Generators, relations, and presentations of groups, layer generation, local balance, Automorphisms of abstract finite groups, groups of characteristic two type, finite simple groups, p-rank, Finite simple groups and their classification, finite groups of Lie type, strongly p-embedded subgroups, signalizer functors
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