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On the existence of Carter subgroups

Vdovin Evgenii
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Abstract

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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Vdovin Evgenii. 2006-03-23. On the existence of Carter subgroups. https://arxiv.org/abs/math/0603560

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