Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-23T18:26:53.275Z Has data issue: false hasContentIssue false
  • English
  • Français

A characteristic property of PSL2(7)

Part of: Representation theory of groups

Published online by Cambridge University Press:  09 April 2009

Shi Wujie
Shi Wujie
Affiliation:
Southwest Teachers CollegeChongqing, China
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.

In this note we characterize PSL2(7) by conditions on the order of the group and the orders of its elements.

MSC classification

Secondary: 20D06: Simple groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 36 , Issue 3 , June 1984 , pp. 354 - 356
Copyright
Copyright © Australian Mathematical Society 1984

References

[1]Adnan, S., ‘A characterization of PSL(2,7)’, J. London Math. Soc. (2) 12 (1976), 215–225.CrossRefGoogle Scholar
[2]Adnan, S., ‘A further characterization of a projective special linear group’, J. Austral. Math. Soc. Ser. A 24 (1977), 112–116.CrossRefGoogle Scholar
[3]Higman, G., ‘Finite groups in which every element has prime power order’, J. London Math. Soc. 32 (1957), 335–342.CrossRefGoogle Scholar
[4]Kurweil, H., Endliche Gruppen (Springer-Verlag, Berlin-Heidelberg-New York, 1977).CrossRefGoogle Scholar
[5]Suzuki, M., ‘On a class of doubly transitive groups’, Ann. of Math. 75 (1962), 105–145.CrossRefGoogle Scholar
[6]Steinberg, R., ‘Automorphisms of finite linear groups’, Canad. J. Math. 12 (1960), 606–615.CrossRefGoogle Scholar
[7]Wujie, Shi and Wenze, Yang, ‘A new characterization of A 5 and the finite group in which every element has prime order’, to appear.Google Scholar