Blocks of quotients of mackey algebras

Date

2015

Editor(s)

Advisor

Barker, Laurence J.

Supervisor

Co-Advisor

Co-Supervisor

Instructor

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Abstract

We review a theorem by Boltje and K¨ulshammer which states that under certain circumstances the endomorphism ring EndRG(RX) has only one block. We study the double Burnside ring, the Burnside ring and the transformations between two bases of it, namely the transitive G-set basis and the primitive idempotent basis. We introduce algebras Λ, Λdef and Υ which are quotient algebras of the inflation Mackey algebra, the deflation Mackey algebra and the ordinary Mackey algebra respectively. We examine the primitive idempotents of Z(Υ). We prove that the algebra Λ has a unique block and give an example where Λdef has two blocks.

Source Title

Publisher

Course

Other identifiers

Book Title

Degree Discipline

Mathematics

Degree Level

Master's

Degree Name

MS (Master of Science)

Citation

Published Version (Please cite this version)

Language

English

Type