Hostname: page-component-76fb5796d-r6qrq Total loading time: 0 Render date: 2024-04-25T13:44:21.767Z Has data issue: false hasContentIssue false
  • English
  • Français

Conjugacy classes in projective and special linear groups

Published online by Cambridge University Press:  17 April 2009

G.E. Wall
G.E. Wall
Affiliation:
Department of Pure Mathematics, University of Sydney, Sydney, New South Wales 2006, Australia.
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.

The conjugacy classes in the finite-dimensional projective full linear, special linear and projective special linear groups over an arbitrary commutative field are determined. The results over a finite field are applied to certain enumerative problems.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 22 , Issue 3 , December 1980 , pp. 339 - 364
Copyright
Copyright © Australian Mathematical Society 1980

References

[1]Feit, Walter and Fine, N.J., “Pairs of commuting matrices over a finite field”, Duke Math. J. 27 (1960), 91–94.Google Scholar
[2]Jacobson, Nathan, The theory of rings (American Mathematical Society Mathematical Surveys, 2. American Mathematical Society, New York, 1943).Google Scholar
[3]Ketter, T.A. and Lehrer, G.I., “On conjugacy classes in certain isogenous groups”, Bull. Austral. Math. Soc. 14 (1976), 371–377.Google Scholar
[4]Lehrer, G.I., “Characters, classes, and duality in isogenous groups”, J. Algebra 36 (1975), 278–286.Google Scholar
[5]Macdonald, I.G., “Numbers of conjugacy classes in some finite classical groups”, Bull. Austral. Math. Soc. 23 (1981), 23–48.Google Scholar