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.
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Carlson, J.F., Thévenaz, J. Torsion Endo-Trivial Modules. Algebras and Representation Theory 3, 303–335 (2000). https://doi.org/10.1023/A:1009988424910
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DOI: https://doi.org/10.1023/A:1009988424910