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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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- Copyright © Australian Mathematical Society 1975
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