V. N. Tyutyanov, P. V. Bychkov, “Simple non abelian group with $D_\pi$ Schmidt subgroups”, PFMT, 2012, no. 2(11), 95

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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2012, Issue 2(11), Pages 95–98 (Mi pfmt39)

MATHEMATICS

Simple non abelian group with

$D_\pi$ Schmidt subgroups

V. N. Tyutyanov^a, P. V. Bychkov^b

^a International Institute of Labor and Social Relations, Gomel
^b F. Scorina Gomel State University, Gomel

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Abstract: Let

$G$ be a finite simple group,

$S$ be its Hall Schmidt

$\pi$ -subgroup. If

$2\in\pi$ then

$G$ is not a

$D_\pi$ -group. If

$2\notin\pi$ and

$G\notin\{A_n(q),^2 A_n(q)\}$ then

$G$ is a

$D_\pi$ -group.

Keywords: group, subgroup, simple group, Hall Schmidt

$\pi$ -subgroup,

$D_\pi$ -group.

Received: 26.01.2012

Document Type: Article

UDC: 512.542

Language: Russian

Citation: V. N. Tyutyanov, P. V. Bychkov, “Simple non abelian group with

$D_\pi$ Schmidt subgroups”, PFMT, 2012, no. 2(11), 95–98

Citation in format AMSBIB

\Bibitem{TyuByc12}

\by V.~N.~Tyutyanov, P.~V.~Bychkov

\paper Simple non abelian group with $D_\pi$ Schmidt subgroups

\jour PFMT

\yr 2012

\issue 2(11)

\pages 95--98

\mathnet{http://mi.mathnet.ru/pfmt39}

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https://www.mathnet.ru/eng/pfmt/y2012/i2/p95

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References:	56

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