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

Research output: Contribution to journalJournal article

Published

Journal publication date1/09/2004
JournalJournal of Pure and Applied Algebra
Journal number1-3
Volume192
Number of pages31
Pages21-51
Original languageEnglish

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.

Bibliographic note

The final, definitive version of this article has been published in the Journal, Journal of Pure and Applied Algebra 193 (1-3), 2004, © ELSEVIER.