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Chern classes and extraspecial groups

Chern classes and extraspecial groups
Chern classes and extraspecial groups
The mod-p cohomology ring of the extraspecialp-group of exponentp is studied for oddp. We investigate the subquotient ch(G) generated by Chern classes modulo the nilradical. The subring of ch(G) generated by Chern classes of one-dimensional representations was studied by Tezuka and Yagita. The subring generated by the Chern classes of the faithful irreducible representations is a polynomial algebra. We study the interplay between these two families of generators, and obtain some relations between them.
0025-2611
73-84
Green, David J.
631334e7-9a9a-427f-badb-d274f426ca64
Leary, Ian J.
57bd5c53-cd99-41f9-b02a-4a512d45150e
Green, David J.
631334e7-9a9a-427f-badb-d274f426ca64
Leary, Ian J.
57bd5c53-cd99-41f9-b02a-4a512d45150e

Green, David J. and Leary, Ian J. (1995) Chern classes and extraspecial groups. Manuscripta Mathematica, 88 (1), 73-84. (doi:10.1007/BF02567806).

Record type: Article

Abstract

The mod-p cohomology ring of the extraspecialp-group of exponentp is studied for oddp. We investigate the subquotient ch(G) generated by Chern classes modulo the nilradical. The subring of ch(G) generated by Chern classes of one-dimensional representations was studied by Tezuka and Yagita. The subring generated by the Chern classes of the faithful irreducible representations is a polynomial algebra. We study the interplay between these two families of generators, and obtain some relations between them.

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Published date: 1995
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 349666
URI: http://eprints.soton.ac.uk/id/eprint/349666
ISSN: 0025-2611
PURE UUID: 4e2551db-d793-4710-b62e-e52536af3a91
ORCID for Ian J. Leary: ORCID iD orcid.org/0000-0001-8300-4979

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Date deposited: 12 Mar 2013 14:19
Last modified: 07 Oct 2020 04:54

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Author: David J. Green
Author: Ian J. Leary ORCID iD

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