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

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<mark>Journal publication date</mark>1/09/2004
<mark>Journal</mark>Journal of Pure and Applied Algebra
Issue number1-3
Number of pages31
Pages (from-to)21-51
<mark>Original language</mark>English


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.