The Dade group of (almost) extraspecial $p$-groups

Nadia Mazza; S. Bouc

doi:10.1016/j.jpaa.2004.02.008

The Dade group of (almost) extraspecial $p$-groups

Nadia Mazza, S. Bouc

Mathematical Science

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

In this paper, we determine a presentation by explicit generators and relations for the Dade group of all (almost) extraspecial p-groups. The proof of the main result uses the cohomological properties of the Tits building corresponding to the natural geometric structure of the lattice of subgroups of such p-groups. (C) 2004 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	21-51
Number of pages	30
Journal	Journal of Pure and Applied Algebra
Volume	192
DOIs	https://doi.org/10.1016/j.jpaa.2004.02.008
Publication status	Published - 2004

Keywords

ENDO-PERMUTATION MODULES

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10.1016/j.jpaa.2004.02.008

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abstract = "In this paper, we determine a presentation by explicit generators and relations for the Dade group of all (almost) extraspecial p-groups. The proof of the main result uses the cohomological properties of the Tits building corresponding to the natural geometric structure of the lattice of subgroups of such p-groups. (C) 2004 Elsevier B.V. All rights reserved.",

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AU - Bouc, S.

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AB - In this paper, we determine a presentation by explicit generators and relations for the Dade group of all (almost) extraspecial p-groups. The proof of the main result uses the cohomological properties of the Tits building corresponding to the natural geometric structure of the lattice of subgroups of such p-groups. (C) 2004 Elsevier B.V. All rights reserved.

KW - ENDO-PERMUTATION MODULES

U2 - 10.1016/j.jpaa.2004.02.008

DO - 10.1016/j.jpaa.2004.02.008

M3 - Article

SN - 0022-4049

VL - 192

SP - 21

EP - 51

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

ER -

The Dade group of (almost) extraspecial $p$-groups

Abstract

Keywords

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