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The Dade group of (almost) extraspecial <f>p</f>-groups

Authors :
Bouc, Serge
Mazza, Nadia
Source :
Journal of Pure & Applied Algebra. Sep2004, Vol. 192 Issue 1-3, p21-51. 31p.
Publication Year :
2004

Abstract

In this paper, we determine a presentation by explicit generators and relations for the Dade group of all (almost) extraspecial &lt;f&gt;p&lt;/f&gt;-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 &lt;f&gt;p&lt;/f&gt;-groups. [Copyright &amp;y&amp; Elsevier]

Details

Language :
English
ISSN :
00224049
Volume :
192
Issue :
1-3
Database :
Academic Search Index
Journal :
Journal of Pure & Applied Algebra
Publication Type :
Academic Journal
Accession number :
13388358
Full Text :
https://doi.org/10.1016/j.jpaa.2004.02.008