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
Busch, Cornelia
42011587-0675-413c-9d2a-c9c56d1f4066
Leary, Ian
57bd5c53-cd99-41f9-b02a-4a512d45150e
December 2019
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).
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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spy_toarx
- Author's Original
Text
spy_toarx2
- Accepted Manuscript
More information
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
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Date deposited: 09 Apr 2018 16:30
Last modified: 16 Mar 2024 06:25
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Author:
Cornelia Busch
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