Quadratic envelope of the category of class two nilpotent groups

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We exhibit an extension of the category of class two nilpotent groups. It has the same objects but, unlike the latter, its morphisms are closed under pointwise addition of maps. At the same time the class of its morphisms is much smaller than the class of all maps. In fact, the morphisms are quadratic maps of very special kind. It is indicated that classification of various class two nilpotent groups up to isomorphism in this larger category can give interesting results.
30 pages

Keywords

Group Theory, Category Theory, K-Theory and Homology, 20E99, 20J06, 18B99 (Primary) 18G50, 20F18, 20F40 (Secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/75047

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504599
 http://arxiv.org/abs/math/0504599

Collections

arXiv