Hostname: page-component-8448b6f56d-tj2md Total loading time: 0 Render date: 2024-04-17T20:53:08.673Z Has data issue: false hasContentIssue false
  • English
  • Français

Static modules and non-normal Clifford theory

Part of: Representation theory of groups

Published online by Cambridge University Press:  09 April 2009

J. L. Alperin
J. L. Alperin
Affiliation:
University of Chicago5734 University Avenue Chicago, Illinois 60637, U.S.A.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A version of the Dade-Cline equivalence from Clifford theory is proved for non-normal subgroups of a finite group in the context of a synthesis of a number of equivalences that arise in the representation theory of groups and algebras.

MSC classification

Secondary: 20C20: Modular representations and characters
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 49 , Issue 3 , December 1990 , pp. 347 - 353
Copyright
Copyright © Australian Mathematical Society 1990

References

[1]Auslander, M., ‘Representations of Artin algebras’, Comm. Algebra 1 (1974), 177–268.Google Scholar
[2]Cline, E., ‘Stable Clifford theory’, J. Algebra 22 (1972), 350–64.Google Scholar
[3]Dade, E., ‘Group-graded rings and modules’, Math. Zeit. 174 (1980), 241–62.CrossRefGoogle Scholar
[4]Isbell, J. R., ‘Top and its adjoint relatives’, General topology and its relation to modern algebra, (Proc. Kampur Topological Conf.), Academia, Prague, 1968, pp. 143–54.Google Scholar
[5]Isbell, J. R., ‘General functorial semantics. I’, Amer. J. Math. 94 (1972), 535–96.Google Scholar
[6]Lambek, J. and Rattray, B. A., ‘A general Stone-Gelfand duality’, Trans. Amer. Math. Soc. 248 (1979), 1–35.Google Scholar
[7]Johnstone, P. T., Stone spaces, Cambridge Univ. Press, 1982.Google Scholar
[8]Sibley, D., private communication.Google Scholar
[9]Smalo, Sverre O., ‘The structure of special endomorphism rings over Artin algebras’, Illinois J. Math. 22 (1978), 428–42.Google Scholar