On the existence of Carter subgroups

Details On the existence of Carter subgroups On the existence of Carter subgroups

2006-03-23

arxiv.org/abs/math/0603560v1

Proc. Steklov Inst. Math. 257 (2007), suppl. 1, 195-203

Mathematics

Group Theory

Scientific paper

In the paper we obtain the existence criterion of a Carter subgroup in a
finite group in terms of its normal series. An example showing that the
criterion cannot be reformulated in terms of composition factors is given.

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