Research output: Contribution to Journal/Magazine › Journal article
Research output: Contribution to Journal/Magazine › Journal article
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TY - JOUR
T1 - The Dade group of (almost) extraspecial $p$-groups.
AU - Bouc, Serge
AU - Mazza, Nadia
N1 - The final, definitive version of this article has been published in the Journal, Journal of Pure and Applied Algebra 193 (1-3), 2004, © ELSEVIER.
PY - 2004/9/1
Y1 - 2004/9/1
N2 - 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.
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.
U2 - 10.1016/j.jpaa.2004.02.008
DO - 10.1016/j.jpaa.2004.02.008
M3 - Journal article
VL - 192
SP - 21
EP - 51
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
SN - 0022-4049
IS - 1-3
ER -