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A characteristic property of PSL2(7)

Published online by Cambridge University Press:  09 April 2009

Shi Wujie
Affiliation:
Southwest Teachers CollegeChongqing, China
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Abstract

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

MSC classification

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1984

References

[1]Adnan, S., ‘A characterization of PSL(2,7)’, J. London Math. Soc. (2) 12 (1976), 215225.CrossRefGoogle Scholar
[2]Adnan, S., ‘A further characterization of a projective special linear group’, J. Austral. Math. Soc. Ser. A 24 (1977), 112116.CrossRefGoogle Scholar
[3]Higman, G., ‘Finite groups in which every element has prime power order’, J. London Math. Soc. 32 (1957), 335342.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), 105145.CrossRefGoogle Scholar
[6]Steinberg, R., ‘Automorphisms of finite linear groups’, Canad. J. Math. 12 (1960), 606615.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

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