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On Graded Categorical Groups and Equivariant Group Extensions |
Canad. J. Math. 54(2002), 970-997
Published:2002-10-01
Printed: Oct 2002
Printed: Oct 2002
- A. M. Cegarra
- J. M. García-Calcines
- J. A. Ortega
Abstract
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.
| MSC Classifications: |
18D10 - Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories [See also 19D23] 18D30 - Fibered categories 20E22 - Extensions, wreath products, and other compositions [See also 20J05] 20F29 - Representations of groups as automorphism groups of algebraic systems |