Infinite branching in the first syzygy

JOURNAL OF ALGEBRA

卷:337

Article

Johnson, F. E. A.

关键词: Syzygy;    Minimal level;    Branching;   

DOI  :  10.1016/j.jalgebra.2011.03.036

来源: Elsevier

【 摘 要 】

The first syzygy Omega(1)(Z) of a group G consists of the isomorphism. classes of modules which are stably equivalent to the augmentation ideal I = Ker(is an element of : Z[G] -> Z). When G is finitely generated Omega(1)(Z) admits the structure of an infinite tree whose roots do not extend infinitely downward. We show that the minimal level Omega(min)(1)(Z) is infinite for certain groups of the form G = C(infinity)(N) x Phi. where Phi is finite. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

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