Algebras and Representation Theory

, Volume 3, Issue 4, pp 303–335

Torsion Endo-Trivial Modules

Authors

  • Jon F. Carlson
    • Department of MathematicsUniversity of Georgia
  • Jacques Thévenaz
    • Institut de MathématiquesUniversité de Lausanne
Article

DOI: 10.1023/A:1009988424910

Cite this article as:
Carlson, J.F. & Thévenaz, J. Algebras and Representation Theory (2000) 3: 303. doi:10.1023/A:1009988424910

Abstract

We prove that the group T(G) of endo-trivial modules for a noncyclic finite p-group G is detected on restriction to the family of subgroups which are either elementary Abelian of rank 2 or (almost) extraspecial. This result is closely related to the problem of finding the torsion subgroup of T(G). We give the complete structure of T(G) when G is dihedral, semi-dihedral, or quaternion.

endo-permutation moduleDade groupgroup algebrasendo-trivial modulesmodular group representations
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© Kluwer Academic Publishers 2000