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Direct decompositions of groups with finitely generated commutator quotient group
Published online by Cambridge University Press: 09 April 2009
Abstract
Let G/G' be finitely generated and let G = B1 x A1 = B2 x A2 = … = Bi x Ai = … with each Bi isomorphic to a fixed group B which obeys the maximal condition for normal subgroups. Then the Ai represent only finitely many isomorphism classes. We give an example with B infinite cyclic, G/G' free abelian of infinite (countable) rank and such that G is decomposed as above with no two Ai isomorphic.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 28 , Issue 3 , November 1979 , pp. 315 - 320
- Copyright
- Copyright © Australian Mathematical Society 1979
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