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Carter subgroups of finite groups
Authors:E. P. Vdovin
Affiliation:(1) Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia
Abstract:It is proven that the Carter subgroups of a finite group are conjugate. A complete classification of the Carter subgroups in finite almost simple groups is also obtained.
Keywords:Carter subgroup  finite simple group  group of Lie type  linear algebraic group  semilinear group of Lie type  semilinear algebraic group  conjugated powers of an element
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