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Some product varieties of groups

Published online by Cambridge University Press:  17 April 2009

R. A. Bryce  and
John Cossey
R. A. Bryce
Affiliation:
The Australian National University, Canberra, ACT.
John Cossey
Affiliation:
The Australian National University, Canberra, ACT.
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Abstract

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We consider varieties with m prime to p. We show that the subvariety lattice of distributive and has descending chain condition and that is its only just non-Cross subvariety. When m is prime we determine the join-irreducible subvarieties of . The method involves fairly detailed description of the structure of non-nilpotent critical groups in .

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 3 , Issue 2 , October 1970 , pp. 231 - 264
Copyright
Copyright © Australian Mathematical Society 1970

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