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DOE OSTI · 21612775

Finite groups with Hall {pi}-subgroups

Vedernikov, Victor A
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Abstract

New classes of finite groups with Hall {pi}-subgroups that have the Sylow properties are constructed and studied. The classes of groups C{sub {pi}} and D{sub {pi}} introduced by P. Hall are substantially extended. Necessary and sufficient conditions are established under which a finite group has Hall {pi}-subgroups. D-Theorems generalizing D-theorems of P. Hall, Wielandt, Baer, and Hartley are obtained. Bibliography: 30 titles.

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97 MATHEMATICS AND COMPUTINGEVOLUTIONGROUP THEORYHALL EFFECTMATHEMATICAL EVOLUTIONMATHEMATICAL LOGICMATHEMATICAL MANIFOLDSMATHEMATICS

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Vedernikov, Victor A. 2012-03-31. Finite groups with Hall {pi}-subgroups. https://doi.org/10.1070/sm2012v203n03abeh004225%3B%20country%20of%20input%3A%20international%20atomic%20energy%20agency%20(iaea)

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