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GROUPS WITH ABELIAN SYLOW SUBGROUPS

Part of: Representation theory of groups Structure and classification of infinite or finite groups Special aspects of infinite or finite groups

Published online by Cambridge University Press:  16 December 2009

ROLF BRANDL
ROLF BRANDL*
Affiliation:
Mathematisches Institut, Am Hubland 12, D-97074 Würzburg, Germany (email: laby1@gmx.de)
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Abstract

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Finite groups with abelian Sylow p-subgroups for certain primes p are characterized in terms of arithmetical properties of commutators.

Keywords

soluble groupsabelian Sylow subgroupscommutatorsarithmetical problems

MSC classification

Secondary: 20D60: Arithmetic and combinatorial problems 20E10: Quasivarieties and varieties of groups 20F12: Commutator calculus
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 88 , Issue 1 , February 2010 , pp. 43 - 47
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2009

References

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