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Symmetric and exterior powers ofrepresentations of cyclic groups.
[Thesis]. Manchester, UK: The University of Manchester; 2016.
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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.
Keyword(s)
cyclic group representation; exterior power; symmetric power
Bibliographic metadata
Type of resource:
Content type:
Form of thesis:
Type of submission:
Degree type:
Master of Philosophy
Degree programme:
MPhil Mathematical Sciences
Publication date:
Institution:
Location:
Manchester, UK
Total pages:
45
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.
Keyword(s):
Thesis main supervisor(s):
Thesis co-supervisor(s):
Degree grantor:
Language:
en
Institutional metadata
University researcher(s):
Academic department(s):
Record metadata
Manchester eScholar ID:
uk-ac-man-scw:304012
Created by:
Green, Robin
Created:
21st September, 2016, 09:22:40
Last modified by:
Green, Robin
Last modified:
1st December, 2017, 09:09:12