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)


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.


Endomorphism Ring Finite Rank Indecomposable Module Valuate Tree Discrete Valuation Ring 
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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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