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On Graded Categorical Groups and Equivariant Group Extensions

Published online by Cambridge University Press:  20 November 2018

A. M. Cegarra
Affiliation:
Departamento de Algebra, Facultad de Ciencias, Universidad de Granada, 18071, Granada Spain, email: [email protected]
J. M. Garćia-Calcines
Affiliation:
Departamento de Algebra Facultad de Ciencias Universidad de Granada 18071, Granada Spain, email: [email protected]
J. A. Ortega
Affiliation:
Departamento de Matemática Fundamental, Universidad de La Laguna, 38271, La Laguna, Spain, email: [email protected]
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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.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2002

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