On general group extension.
The problem of normal extensions in groups (see Kurosh [1] Chapter XII) has been studied in considerable detail and has reached the point of a reasonable solution. The corresponding problem of general extensions in groups, although studied quite extensively, has not yet reached that point. The aim o...
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ndltd-LACETR-oai-collectionscanada.gc.ca-QMM.1133712014-02-13T03:53:32ZOn general group extension.Dixon, John. D.Mathematics.The problem of normal extensions in groups (see Kurosh [1] Chapter XII) has been studied in considerable detail and has reached the point of a reasonable solution. The corresponding problem of general extensions in groups, although studied quite extensively, has not yet reached that point. The aim of the present thesis is to generalise some of the results obtained in the case of normal extensions to the general case. It was proved by Baer [1] that the cosets of a group H modulo an arbitrary subgroup G can be given a structure called a mixed group.McGill UniversitySchwerdtfeger, H. (Supervisor)1961Electronic 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=113371 |
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en |
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Mathematics. |
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Mathematics. Dixon, John. D. On general group extension. |
description |
The problem of normal extensions in groups (see Kurosh [1] Chapter XII) has been studied in considerable detail and has reached the point of a reasonable solution. The corresponding problem of general extensions in groups, although studied quite extensively, has not yet reached that point. The aim of the present thesis is to generalise some of the results obtained in the case of normal extensions to the general case. It was proved by Baer [1] that the cosets of a group H modulo an arbitrary subgroup G can be given a structure called a mixed group. |
author2 |
Schwerdtfeger, H. (Supervisor) |
author_facet |
Schwerdtfeger, H. (Supervisor) Dixon, John. D. |
author |
Dixon, John. D. |
author_sort |
Dixon, John. D. |
title |
On general group extension. |
title_short |
On general group extension. |
title_full |
On general group extension. |
title_fullStr |
On general group extension. |
title_full_unstemmed |
On general group extension. |
title_sort |
on general group extension. |
publisher |
McGill University |
publishDate |
1961 |
url |
http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=113371 |
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AT dixonjohnd ongeneralgroupextension |
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