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Decomposable involution centralizers involving exceptional lie type simple groups

Published online by Cambridge University Press:  09 April 2009

M. J. Curran
M. J. Curran
Affiliation:
Department of Mathematics, University of Auckland, New Zealand.
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There have been investigations (Janko (1966), Janko and Thompson (1966), Yamaki (1972)) of finite groups G which contain a central involution t whose centralizer (in G) has the form C(t) = 〈t〉 × F, where F is isomorphic to a non-abelian simple group. Here it is shown such a group cannot be simple when F is isomorphic to an exceptional Lie type simple group of odd characteristic. Specifically the following theorem is proved.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 23 , Issue 1 , February 1977 , pp. 59 - 66
Copyright
Copyright © Australian Mathematical Society 1977

References

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