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Title: 2-Blocks with homocyclic defect group and inertial quotient containing a Singer cycle
Author: Mckernon, Elliot
ISNI:       0000 0004 9354 4188
Awarding Body: University of Manchester
Current Institution: University of Manchester
Date of Award: 2020
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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.
Supervisor: Eaton, Charles Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: block theory ; Morita equivalence ; Donovan's conjecture ; defect group ; inertial quotient