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Finiteness Properties

  • Derek J. S. Robinson
Part of the Graduate Texts in Mathematics book series (GTM, volume 80)

Abstract

A finiteness condition or property is a group-theoretical property which is possessed by all finite groups: thus it is a generalization of finiteness. This embraces an immensely wide collection of properties, numerous examples of which we have already encountered, for example, finiteness, finitely generated, the maximal condition and so on. Our purpose here is to single out for special study some of the more significant finiteness properties.

Keywords

Normal Subgroup Finite Group Maximal Subgroup Sylow Subgroup Abelian Subgroup 
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 1996

Authors and Affiliations

  • Derek J. S. Robinson
    • 1
  1. 1.Department of MathematicsUniversity of Illinois at Urbana-ChampaignUrbanaUSA

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