Some cancellation theorems

Journal of the Australian Mathematical Society

A. R. Shastri¹ 

关键词: 20 F 06;    20 F 18;    15 A 63;    10 C 05;   

DOI  :  10.1017/S1446788700021947

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

If G, H and B are groups such that G × B ≃ H × B, G/[G, G]. Z(G) is free abelian and B is finitely generated abelian, then G ≃ H. The equivalence classes of triples (Vξ,A) where Vand A are finitely generated free abelian groups and ξ: V⊗ V → A is a bilinear form constitute a semigroup B undera natural external orthogonal sum. This semigroup B is cancellative. A cancellation theorem for class 2 nilpotent groups is deduced.

【 授权许可】

Unknown