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Finite groups with a certain centralizer of an element of order 3

Published online by Cambridge University Press:  14 November 2011

A. R. Prince
A. R. Prince
Affiliation:
Department of Mathematics, Heriot-Watt University, Edinburgh
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Synopsis

A characterization of the symmetric group of degree 9 is given in terms of the centralizer of an element of order 3.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 87 , Issue 3-4 , 1981 , pp. 249 - 254
Copyright
Copyright © Royal Society of Edinburgh 1981

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References

1Gorenstein, D.. Finite Groups (New York: Harper and Row, 1968).Google Scholar
2Gorenstein, D. and Harada, K.. On finite groups with Sylow 2-subgroups of type A n (n = 8,9,10,11). Math. Z. 117 (1970), 207–238.CrossRefGoogle Scholar
3Gorenstein, D. and Walter, J. H.. The characterization of finite groups with dihedral Sylow 2-subgroups, I, II, III. J. Algebra 2 (1965), 85–151, 218–270, 354–393.CrossRefGoogle Scholar
4Hayden, J. L.. A characterization of the finite simple group PSp4(3). Canad. J. Math. 25 (1973), 539–553.CrossRefGoogle Scholar
5Herzog, M.. On finite groups which contain a Frobenius subgroup. J. Algebra 6 (1967), 192–221.CrossRefGoogle Scholar
6Prince, A. R.. A characterization of the simple groups PSp(4, 3) and PSp(6, 2). J. Algebra 45 (1977), 306–320.CrossRefGoogle Scholar
7Prince, A. R.. A characterization of the simple group 2D 4(2). J. Algebra, in press.Google Scholar
8Stafford, R. M.. A characterization of Janko's simple group J4 by centralizers of elements of order 3. J. Algebra 57 (1979), 555–566.CrossRefGoogle Scholar
9Suzuki, M.. A characterization of the simple groups LF(2, p). J. Fac. Sci. Univ. Tokyo Sect. I 6 (1951), 259–293.Google Scholar
10Yamaki, H.. A characterization of the simple group S p (6, 2). J. Math. Soc. Japan 21 (1969), 334–356.CrossRefGoogle Scholar