Direct decompositions of groups with finitely generated commutator quotient group

Journal of the Australian Mathematical Society

Ronald Hirshon¹ 

关键词: 20 F 06;    20 E 22;    20 E 15;   

DOI  :  10.1017/S144678870001226X

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

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.

【 授权许可】

Unknown