The relative Heller operator and relative cohomology for the Klein 4-group
Article
Elmer, J. 2022. The relative Heller operator and relative cohomology for the Klein 4-group. Communications in Algebra. 50 (4), pp. 1518-1534. https://doi.org/10.1080/00927872.2021.1984496
Type | Article |
---|---|
Title | The relative Heller operator and relative cohomology for the Klein 4-group |
Authors | Elmer, J. |
Abstract | Let G be the Klein Four-group and let k be an arbitrary field of characteristic 2. A classification of indecomposable kG-modules is known. We calculate the relative cohomology groups H^i_χ(G,N) for every indecomposable kG-module N , where χ is the set of proper subgroups in G. This extends work of Pamuk and Yalcin to cohomology with non-trivial coefficients. We also show that all cup products in strictly positive degree in H^*_χ (G, k) are trivial. |
Keywords | Cohomology of groups; cup product; modular representation theory; relative cohomology |
Publisher | Taylor and Francis |
Journal | Communications in Algebra |
ISSN | 0092-7872 |
Electronic | 1532-4125 |
Publication dates | |
Online | 16 Oct 2021 |
03 Apr 2022 | |
Publication process dates | |
Submitted | 24 Jun 2021 |
Accepted | 20 Sep 2021 |
Deposited | 22 Sep 2021 |
Output status | Published |
Accepted author manuscript | |
Copyright Statement | This is an Accepted Manuscript of an article published by Taylor & Francis in Communications in Algebra on 16 Oct 2021, available online: http://www.tandfonline.com/10.1080/00927872.2021.1984496 |
Digital Object Identifier (DOI) | https://doi.org/10.1080/00927872.2021.1984496 |
Web of Science identifier | WOS:000707828500001 |
Language | English |
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