2-Blocks with Homocyclic Defect Group and Inertial Quotient Containing a Singer Cycle

UoM administered thesis: Phd

  • Authors:
  • Elliot Mckernon

Abstract

In this thesis we classify several families of blocks whose inertial quotient contains a Singer cycle. In particular, we consider 2-blocks of a finite group, whose defect group is elementary abelian or homocyclic, and whose inertial quotient contains a Singer cycle - an element of order one less than a power of two. The action of the inertial quotient on the defect group can be well-understood, allowing a classification of such blocks up to basic Morita equivalence in many cases.

Details

Original languageEnglish
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Award date31 Dec 2020