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On Graded Categorical Groups and Equivariant Group Extensions

Published online by Cambridge University Press:  20 November 2018

A. M. Cegarra ,
J. M. Garćia-Calcines  and
J. A. Ortega
A. M. Cegarra
Affiliation:
Departamento de Algebra, Facultad de Ciencias, Universidad de Granada, 18071, Granada Spain, email: acegarra@ugr.es
J. M. Garćia-Calcines
Affiliation:
Departamento de Algebra Facultad de Ciencias Universidad de Granada 18071, Granada Spain, email: jalcaraz@ugr.es
J. A. Ortega
Affiliation:
Departamento de Matemática Fundamental, Universidad de La Laguna, 38271, La Laguna, Spain, email: jmgarcal@ull.es
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Abstract

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In this article we state and prove precise theorems on the homotopy classification of graded categorical groups and their homomorphisms. The results use equivariant group cohomology, and they are applied to show a treatment of the general equivariant group extension problem.

Keywords

18D1018D3020E2220F29
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 54 , Issue 5 , 01 October 2002 , pp. 970 - 997
Copyright
Copyright © Canadian Mathematical Society 2002

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