Symmetric and exterior powers ofrepresentations of cyclic groups.

UoM administered thesis: Master of Philosophy

  • Authors:
  • Robin Green

Abstract

In this thesis we will consider symmetric and exterior powers of modular representa-tions of cyclic groups of prime power orders. It is shown that some pth exterior powerscan be expressed in terms of symmetric powers of subgroup modules quotiented outby pth powers. An expression for this quotient in terms of exterior powers is proved.Numerical data is given for small exterior powers at the primes 3 and 5.

Details

Original languageEnglish
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Award date31 Dec 2016