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Products of locally finite groups with min-p

Part of: Special aspects of infinite or finite groups

Published online by Cambridge University Press:  09 April 2009

Bernhard Amberg  and
Mohammad Reza R. Moghaddam
Bernhard Amberg
Affiliation:
Fachbereich 17-Mathematik, Johannes Gutenberg-Universität, Saarstraße 21, D-6500 Mainz, Federal Republic of Germany
Mohammad Reza R. Moghaddam
Affiliation:
Department of Mathematics, Faculty of Science, Mashhad University, Mashhad, Iran
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Abstract

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The paper is devoted to showing that if the factorized group G = AB is almost solvable, if A and B are π-subgroups with min-p for some prime p in π and also if the hypercenter factor group A/H(A) or B/H(B) has min p for the prime p. then G is a π-group with min-p for the prime p.

MSC classification

Secondary: 20F50: Periodic groups; locally finite groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 41 , Issue 3 , December 1986 , pp. 352 - 360
Copyright
Copyright © Australian Mathematical Society 1986

References

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