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Applications of Representations and Butler Groups

  • David M. Arnold
Part of the CMS Books in Mathematics / Ouvrages de mathématiques de la SMC book series (CMSBM)

Abstract

The theory of Butler groups has, a priori, little relevance for p-local torsion-free groups. This is so because p-local Butler groups are completely decomposable. Nevertheless, isomorphism at p classes of finite rank Butler groups can be interpreted as torsion-free ℤ p -modules of finite rank (Corollary 8.1.9). Rank-1 groups correspond to purely indecomposable p-local groups, and bracket groups correspond to copurely indecomposable p-local groups.

Keywords

Endomorphism Ring Finite Rank Indecomposable Module Valuate Tree Discrete Valuation Ring 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • David M. Arnold
    • 1
  1. 1.Department of MathematicsBaylor UniversityWacoUSA

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