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Relative relation modules of finite groups

Published online by Cambridge University Press:  20 January 2009

Mohammad Yamin
Mohammad Yamin
Affiliation:
Department of MathematicsJamia Millia IslamiaNew Delhi-110025, India
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Abstract

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Let E be a free product of a finite number of cyclic groups, and S a normal subgroup of E such that E/S ≅ G is finite. For a prime p, Ŝ = S / S′Sp may be regarded as an -module. Whenever E is a free group, Ŝ is called a relation module (modulo p); in general we call Ŝ a relative relation module (modulo p). Gaschütz, Gruenberg and others have studied relation modules; the aim of this paper is to study relative relation modules.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 34 , Issue 3 , October 1991 , pp. 433 - 442
Copyright
Copyright © Edinburgh Mathematical Society 1991

References

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