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Covering groups of nonconnected topological groups and 2-groups
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Rumynin, Dmitriy, Vakhrameev, Demyan and Westaway, Matthew (2019) Covering groups of nonconnected topological groups and 2-groups. Communications in Algebra, 47 (12). 5207-5217 . doi:10.1080/00927872.2019.1612425 ISSN 0092-7872.
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WRAP-covering-groups-nonconnected-topological-Westaway-2019.pdf - Accepted Version - Requires a PDF viewer. Download (451Kb) | Preview |
Official URL: https://doi.org/10.1080/00927872.2019.1612425
Abstract
We investigate the universal cover of a topological group that is not necessarily connected. Its existence as a topological group is governed by a Taylor cocycle, an obstruction in 3-cohomology. Alternatively, it always exists as a topological 2-group. The splitness of this 2-group is also governed by an obstruction in 3-cohomology, a Sinh cocycle. We give explicit formulas for both obstructions and show that they are equal.
| Item Type: | Journal Article | |||||||||
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| Subjects: | Q Science > QA Mathematics | |||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||
| Library of Congress Subject Headings (LCSH): | Finite groups, Group theory , Cohomology operations, Algebraic topology | |||||||||
| Journal or Publication Title: | Communications in Algebra | |||||||||
| Publisher: | Taylor & Francis (Routledge) | |||||||||
| ISSN: | 0092-7872 | |||||||||
| Official Date: | 22 May 2019 | |||||||||
| Dates: |
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| Volume: | 47 | |||||||||
| Number: | 12 | |||||||||
| Page Range: | 5207-5217 | |||||||||
| DOI: | 10.1080/00927872.2019.1612425 | |||||||||
| Status: | Peer Reviewed | |||||||||
| Publication Status: | Published | |||||||||
| Reuse Statement (publisher, data, author rights): | βThis is an Accepted Manuscript of an article published by Taylor & Francis in Communications in Algebra on 22/05/2019, available online: http://www.tandfonline.com/10.1080/00927872.2019.1612425 | |||||||||
| Access rights to Published version: | Restricted or Subscription Access | |||||||||
| Date of first compliant deposit: | 8 April 2019 | |||||||||
| Date of first compliant Open Access: | 22 May 2020 | |||||||||
| RIOXX Funder/Project Grant: |
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