On the group ring.

On the group ring.

In this thesis we study the group ring of an arbitrary group over an associative ring with unit element. Classically the group ring studied was that of a finite group over a field, and with the introduction of group characters a number of theorems on finite groups were derived from the theory of the...

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Main Author: Connell, Ian. G.
Other Authors: Lambek, J. (Supervisor)
Format: Others
Language:en
Published: McGill University 1963
Subjects:
Mathematics.
Online Access:http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=115077
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spelling ndltd-LACETR-oai-collectionscanada.gc.ca-QMM.1150772014-02-13T04:10:01ZOn the group ring.Connell, Ian. G.Mathematics.In this thesis we study the group ring of an arbitrary group over an associative ring with unit element. Classically the group ring studied was that of a finite group over a field, and with the introduction of group characters a number of theorems on finite groups were derived from the theory of the group ring. (See, for example, M. Hall, The theory of groups, chapter 16). For the general group ring considered here, which allows in particular infinite groups, no such application can be claimed as yet, perhaps because the basic theory has not been sufficiently developed.McGill UniversityLambek, J. (Supervisor)1963Electronic Thesis or Dissertationapplication/pdfenalephsysno: NNNNNNNNNTheses scanned by McGill Library.All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated.Doctor of Philosophy. (Department of Mathematics.) http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=115077
collection NDLTD
language en
format Others
sources NDLTD
topic Mathematics.
spellingShingle Mathematics.
Connell, Ian. G.
On the group ring.
description In this thesis we study the group ring of an arbitrary group over an associative ring with unit element. Classically the group ring studied was that of a finite group over a field, and with the introduction of group characters a number of theorems on finite groups were derived from the theory of the group ring. (See, for example, M. Hall, The theory of groups, chapter 16). For the general group ring considered here, which allows in particular infinite groups, no such application can be claimed as yet, perhaps because the basic theory has not been sufficiently developed.
author2 Lambek, J. (Supervisor)
author_facet Lambek, J. (Supervisor)
Connell, Ian. G.
author Connell, Ian. G.
author_sort Connell, Ian. G.
title On the group ring.
title_short On the group ring.
title_full On the group ring.
title_fullStr On the group ring.
title_full_unstemmed On the group ring.
title_sort on the group ring.
publisher McGill University
publishDate 1963
url http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=115077
work_keys_str_mv AT connelliang onthegroupring
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