On the structure of groups, possessing Carter subgroups of odd order

2015/03/31 by E. P. Vdovin, Vdovin, E. P.
Mathematics · #20D25 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20D25

paper · pdf · doi:10.48550/arxiv.1503.08907

arxiv created 2015/03/31 · arxiv updated 2015/04/01

Abstract

In the note we prove that all composition factors of a finite group possessing a Carter subgroup of odd order either are abelain, or are isomorphic to L₂(3²ⁿ⁺¹).

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