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On the Simple Group of J. Tits

Published online by Cambridge University Press:  20 November 2018

David Parrott
David Parrott*
Affiliation:
Mcgill University, Montreal Quebec
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In the series of simple groups 2F4(q),q =2 2m+1, discovered by Ree, Tits [4] showed that the group 2F4(2) was not simple but contained a simple subgroup of index 2. In this note we extend the characterization of obtained by the author in [3].

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 16 , Issue 1 , March 1973 , pp. 87 - 92
Copyright
Copyright © Canadian Mathematical Society 1973

References

1. Glauberman, G., Central elements in core-free groups, J. Algebra 4 (1966), 403420.Google Scholar
2. Gorenstein, D., Finite groups, Harper and Row, New York, 1968.Google Scholar
3. Parrott, D., A characterization of the Tits’ simple group, Canad. J. Math. 24 (1972), 672–685.Google Scholar
4. Tits, J., Algebraic and abstract simple groups, Ann. of Math. 80 (1964), 313–329.Google Scholar