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Projective metabelian nonfree groups
Published online by Cambridge University Press: 17 April 2009
Abstract
This paper is concerned with projective metabelian -groups. where
is the variety of all abelian groups,
- of all abelian groups of exponent n. Let P be a projective
-group. Since
the group P/P′ is a free abelian group. Define rank P = rank P/P′. It is shown that for all numbers r, n > 1, except r = n = 2, there exists a protective nonfree
-group of rank r with r + 1 generators.
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- Research Article
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- Copyright © Australian Mathematical Society 1975
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