An inequality for complex linear groups of small degree-Reference-Cited by-同舟云学术

An inequality for complex linear groups of small degree

Published:1971 Issue:2 Volume:28 Page:405-408
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Blau Harvey I.

Abstract

Let G G be a finite complex irreducible linear group of degree less than p − 1 p-1 for some fixed prime p p , whose order is divisible by p p to the first power only, and which has no normal Sylow p p -subgroup. An inequality of Brauer, which bounds p p by a function of the number of conjugate classes of p p -elements, is improved.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1971-028-02/S0002-9939-1971-0274601-X/S0002-9939-1971-0274601-X.pdf

Reference8 articles.

1. Under the degree of some finite linear groups;Blau, Harvey I.;Trans. Amer. Math. Soc.,1971

2. Some results on finite groups whose order contains a prime to the first power;Brauer, Richard;Nagoya Math. J.,1966

3. Über endliche lineare Gruppen von Primzahlgrad;Brauer, Richard;Math. Ann.,1967

4. Groups with a cyclic Sylow subgroup;Feit, Walter;Nagoya Math. J.,1966

5. On finite linear groups;Feit, Walter;J. Algebra,1967

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1. Character degrees of groups with a cyclic sylow subgroup;Communications in Algebra;1985-01

2. Bibliography;North-Holland Mathematical Library;1982

3. Finite linear groups of degree less than p-2;Communications in Algebra;1981-01