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The Yagita invariant of symplectic groups of large rank

The Yagita invariant of symplectic groups of large rank
The Yagita invariant of symplectic groups of large rank
Fix a prime p and let R be a subring of the complex numbers that is either integrally closed or contains a primitive pth root of 1.  For any such R and any n greater than or equal to p-1, we compute the Yagita invariant at the prime p for the symplectic group Sp(2n,R). 
Group cohomology, Yagita invariant, Symplectic group
1660-5446
Busch, Cornelia
42011587-0675-413c-9d2a-c9c56d1f4066
Leary, Ian
57bd5c53-cd99-41f9-b02a-4a512d45150e
Busch, Cornelia
42011587-0675-413c-9d2a-c9c56d1f4066
Leary, Ian
57bd5c53-cd99-41f9-b02a-4a512d45150e

Busch, Cornelia and Leary, Ian (2019) The Yagita invariant of symplectic groups of large rank. Mediterranean Journal of Mathematics, 16, [142]. (doi:10.1007/s00009-019-1412-0).

Record type: Article

Abstract

Fix a prime p and let R be a subring of the complex numbers that is either integrally closed or contains a primitive pth root of 1.  For any such R and any n greater than or equal to p-1, we compute the Yagita invariant at the prime p for the symplectic group Sp(2n,R). 

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In preparation date: 26 March 2018
Accepted/In Press date: 9 October 2019
e-pub ahead of print date: 19 October 2019
Published date: December 2019
Keywords: Group cohomology, Yagita invariant, Symplectic group

Identifiers

Local EPrints ID: 419218
URI: http://eprints.soton.ac.uk/id/eprint/419218
ISSN: 1660-5446
PURE UUID: 3ed1bd28-9cae-4657-bcd4-7167e0ae95aa
ORCID for Ian Leary: ORCID iD orcid.org/0000-0001-8300-4979

Catalogue record

Date deposited: 09 Apr 2018 16:30
Last modified: 16 Mar 2024 06:25

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Contributors

Author: Cornelia Busch
Author: Ian Leary ORCID iD

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