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The multiplicator of a regular product of groups

Published online by Cambridge University Press:  17 April 2009

William Haebich  and
P.J. Cossey
William Haebich
Affiliation:
Department of Pure Mathematics, School of General Studies, Australian National University, Canberra, ACT.
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Abstract

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It is shown that if G is an arbitrary regular product of its subgroups Aλ, ∈ ϵ I, then the multiplicator, M(G), is the director product of the M(Aλ) together with a certain other group. This extends a calculation of M(A1 × A2) due to Schur. As an application, we find the multiplicator of a vertai wreath product A wrVB where A is abelian. A representing group for a finite regular product is also constructed.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 7 , Issue 2 , October 1972 , pp. 279 - 296
Copyright
Copyright © Australian Mathematical Society 1972

References

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