Algorithms for constructing KG-modules

Goodwin, Simon

dc.contributor.advisor	O'Brien, Eamonn
dc.contributor.advisor	An, Jianbei
dc.contributor.author	Goodwin, Simon
dc.date.accessioned	2022-09-09T01:09:26Z
dc.date.available	2022-09-09T01:09:26Z
dc.date.issued	2022	en
dc.identifier.uri	https://hdl.handle.net/2292/61100
dc.description.abstract	In this thesis, we present algorithms to study the submodule structure of a finite dimensional KG-module where G is a group and K is a finite field. The MeatAxe decides whether a given KG-module is reducible, and if so constructs a submodule. The submodule lattice algorithms construct all submodules of a KG-modules and the inclusions among those submodules. We report in detail the theory underpinning these algorithms. We have developed implementations of the algorithms in Magma and we report on their performance.
dc.publisher	ResearchSpace@Auckland	en
dc.relation.ispartof	Masters Thesis - University of Auckland	en
dc.relation.isreferencedby	UoA	en
dc.rights	Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
dc.rights.uri	https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm	en
dc.rights.uri	http://creativecommons.org/licenses/by-nc-sa/3.0/nz/
dc.title	Algorithms for constructing KG-modules
dc.type	Thesis	en
thesis.degree.discipline	Mathematics
thesis.degree.grantor	The University of Auckland	en
thesis.degree.level	Masters	en
dc.date.updated	2022-08-04T03:09:56Z
dc.rights.holder	Copyright: the author	en
dc.rights.accessrights	http://purl.org/eprint/accessRights/OpenAccess	en