✦ LIBER ✦

The Nonabelian Tensor Square and Schur Multiplicator of Nilpotent Groups of Class 2

✍ Scribed by Manfred Hartl

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 289 KB
Volume: 179
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.0018

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✦ Synopsis

The nonabelian tensor square and the Schur multiplicator are determined for arbitrary groups of class 2 in a closed form. A functorial description is given in terms of a polynomial quotient of the integral group ring, as well as a more explicit formula for finite groups which can be evaluated by matrix calculus. This is carried out for 2-generator groups. Also some homotopical data of the suspended classifying space of class 2 groups are derived. The approach is based on the use of polynomial maps and constructions in the sense of Passi.

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