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A Characterization of the Finite Simple Group PSp4(3)

Published online by Cambridge University Press:  20 November 2018

John L. Hayden
John L. Hayden*
Affiliation:
Bowling Green State University, Bowling Green, Ohio
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The aim of this paper is to characterize the finite simple group PSp4(3) by the structure of the centralizer of an element of order three contained in the center of its Sylow 3-subgroup. More precisely, we shall prove the following results.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 3 , June 1973 , pp. 539 - 553
Copyright
Copyright © Canadian Mathematical Society 1973

References

1. Artin, E., Geometric algebra (Interscience, New York, 1957).Google Scholar
2. Carter, R. and Fong, P., The Sylow 2-subgroup of the finite classical groups, J. Algebra 1 (1964), 139–151.Google Scholar
3. Feit, W. and Thompson, J., Finite groups which contain a self-centralizing subgroup of order 3, Nagoya Math. J. 21 (1962), 185–197.Google Scholar
4. Glauberman, G., Central elements in core-free groups, J. Algebra 4 (1966), 403–420.Google Scholar
5. Gorenstein, D., Finite groups (Harper and Row, New York, 1968).Google Scholar
6. Janko, Z., A characterization of the finite simple group PSp4(3), Can. J. Math. 19 (1967), 872–894.Google Scholar
7. Scott, W., Group theory (Prentice-Hall, New York, 1968).Google Scholar
8. Suzuki, M., Applications of group characters, Proc. Symp. Pure Math., Amer. Math. Soc. 1 (1959), 88–99.Google Scholar
9. Thompson, J. G., Nonsolvable finite groups all of whose local subgroups are solvable. II, Pacific J. Math. 33 (1970), 451–536.Google Scholar