The Resource Solution of a non-domestic tame classification problem from integral representation theory of finite groups, Lambda = RC3, v(3) = 4
Solution of a non-domestic tame classification problem from integral representation theory of finite groups, Lambda = RC3, v(3) = 4
Resource Information
The item Solution of a non-domestic tame classification problem from integral representation theory of finite groups, Lambda = RC3, v(3) = 4 represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Solution of a non-domestic tame classification problem from integral representation theory of finite groups, Lambda = RC3, v(3) = 4 represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
- Summary
- Suppose [italic capital]R be a complete discrete valuation ring with exponential valuation [lowercase Greek]Nu, and let [italic capital]G be a finite [italic]p-group. In studying the representation type (finite, tame or wild) of the group ring [italic capital]RG, the last open problem was the case where [italic capital]G = [italic capital]C3 and [lowercase Greek]Nu(3) = 4. Here it is shown that in this group ring is tame (non-domestic and of finite growth), by way of classifying all indecomposable representations of [italic capital]C3 in [italic capital]R when [lowercase Greek]Nu(3) = 4
- Language
- eng
- Extent
- xix, 140 pages
- Contents
-
- Preliminaries
- First reduction
- Second reduction
- Third reduction
- Fourth reduction
- The Auslander-Reiten quiver of [capital Greek]Lambda
- Appendix
- Isbn
- 9780821825211
- Label
- Solution of a non-domestic tame classification problem from integral representation theory of finite groups, Lambda = RC3, v(3) = 4
- Title
- Solution of a non-domestic tame classification problem from integral representation theory of finite groups, Lambda = RC3, v(3) = 4
- Language
- eng
- Summary
- Suppose [italic capital]R be a complete discrete valuation ring with exponential valuation [lowercase Greek]Nu, and let [italic capital]G be a finite [italic]p-group. In studying the representation type (finite, tame or wild) of the group ring [italic capital]RG, the last open problem was the case where [italic capital]G = [italic capital]C3 and [lowercase Greek]Nu(3) = 4. Here it is shown that in this group ring is tame (non-domestic and of finite growth), by way of classifying all indecomposable representations of [italic capital]C3 in [italic capital]R when [lowercase Greek]Nu(3) = 4
- Cataloging source
- UkLiU
- http://library.link/vocab/creatorDate
- 1951-
- http://library.link/vocab/creatorName
- Dieterich, Ernst
- Series statement
- Memoirs of the American Mathematical Society
- Series volume
- 540
- http://library.link/vocab/subjectName
-
- Representations of groups
- Finite groups
- Modules (Algebra)
- Label
- Solution of a non-domestic tame classification problem from integral representation theory of finite groups, Lambda = RC3, v(3) = 4
- Bibliography note
- Includes bibliographical references (pages 138-140)
- Carrier category
- volume
- Carrier category code
-
- nc
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
-
- Preliminaries
- First reduction
- Second reduction
- Third reduction
- Fourth reduction
- The Auslander-Reiten quiver of [capital Greek]Lambda
- Appendix
- Dimensions
- 26 cm.
- Extent
- xix, 140 pages
- Isbn
- 9780821825211
- Media category
- unmediated
- Media MARC source
- rdamedia
- Media type code
-
- n
- Other physical details
- illustrations
- Label
- Solution of a non-domestic tame classification problem from integral representation theory of finite groups, Lambda = RC3, v(3) = 4
- Bibliography note
- Includes bibliographical references (pages 138-140)
- Carrier category
- volume
- Carrier category code
-
- nc
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
-
- Preliminaries
- First reduction
- Second reduction
- Third reduction
- Fourth reduction
- The Auslander-Reiten quiver of [capital Greek]Lambda
- Appendix
- Dimensions
- 26 cm.
- Extent
- xix, 140 pages
- Isbn
- 9780821825211
- Media category
- unmediated
- Media MARC source
- rdamedia
- Media type code
-
- n
- Other physical details
- illustrations
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Solution-of-a-non-domestic-tame-classification/r52fzQ2OUZk/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Solution-of-a-non-domestic-tame-classification/r52fzQ2OUZk/">Solution of a non-domestic tame classification problem from integral representation theory of finite groups, Lambda = RC3, v(3) = 4</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>