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AN IDENTIFICATION THEOREM FOR GROUPS WITH SOCLE PSU${}_{6} (2)$

Part of: Representation theory of groups

Published online by Cambridge University Press:  25 February 2013

CHRIS PARKER  and
GERNOT STROTH
CHRIS PARKER*
Affiliation:
School of Mathematics, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK
GERNOT STROTH
Affiliation:
Institut für Mathematik, Universität Halle-Wittenberg, Theodor-Lieser-Str. 5, 06099 Halle, Germany email [email protected]
*
✉[email protected]
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Abstract

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We identify the groups ${\text{PSU} }_{6} (2)$, ${\text{PSU} }_{6} (2){: }2$, ${\text{PSU} }_{6} (2){: }3$ and $\text{Aut} ({\text{PSU} }_{6} (2))$ from the structure of the centralizer of an element of order three.

Keywords

groupssimple groupsidentification of simple groupsclassical groupsclassification of finite simple groups

MSC classification

Secondary: 20D05: Finite simple groups and their classification
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 93 , Issue 3 , December 2012 , pp. 277 - 310
Copyright
Copyright ©2013 Australian Mathematical Publishing Association Inc. 

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