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

  • Elliot Mckernon

Student thesis: Phd


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.
Date of Award31 Dec 2020
Original languageEnglish
Awarding Institution
  • The University of Manchester
SupervisorCharles Eaton (Supervisor) & John Stafford (Supervisor)


  • block theory
  • Morita equivalence
  • Donovan's conjecture
  • defect group
  • inertial quotient

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