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A characterization of the group Aut(PGL(3, 4))

Published online by Cambridge University Press:  09 April 2009

D. E. Taylor
D. E. Taylor
Affiliation:
Monash UniversityVictoria, Australia
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In a recent paper, Z. Janko [5] announced the discovery of two new finite non-abelian simple groups and characterized these groups in terms of the centralizer of an involution. In fact, he proved the following result.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 11 , Issue 2 , May 1970 , pp. 195 - 206
Copyright
Copyright © Australian Mathematical Society 1970

References

[1]Burnside, W., Theory of groups of finite order. (2nd ed.Dover, 1955).Google Scholar
[2]Glauberman, G., “Central elements in core-free groups”, J. Algebra 4 (1966), 403–420.CrossRefGoogle Scholar
[3]Gorenstein, D., Finite Groups (Harper and Row, 1968).Google Scholar
[4]Gorenstein, D. and Walter, J. H., ‘On finite groups with dihedral Sylow 2-subgroups’, Illinois J. Math. 6 (1962), 553–593.CrossRefGoogle Scholar
[5]Janko, Z., ‘Some new simple groups of finite order, I’, Symp. Math., Rome, Vol. I, (1968), 25–64.Google Scholar
[6]Suzuki, M., ‘On characterizations of linear groups, I’, Trans. Amer. Math. Soc. 92 (1959), 191–204.Google Scholar
[7]Suzuki, M., ‘On characterizations of linear groups, II’, Trans. Amer. Math. Soc. 92 (1959), 205–219.Google Scholar
[8]Suzuki, M., ‘Finite groups in which the centralizer of any element of order 2 is 2-closed’, Ann. of Math. (2) 82 (1965), 191–212.CrossRefGoogle Scholar