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A Characterization of $ PSU_{11}(q)$ |
Published:2004-12-01
Printed: Dec 2004
Printed: Dec 2004
- A. Iranmanesh
- B. Khosravi
Abstract
Order components of a finite simple group were introduced in [4].
It was proved that some non-abelian simple groups are uniquely determined
by their order components. As the main result of this paper, we
show that groups $PSU_{11}(q)$ are also uniquely determined by
their order components. As corollaries of this result, the
validity of a conjecture of J. G. Thompson and a conjecture of W.
Shi and J. Bi both on $PSU_{11}(q)$ are obtained.
| Keywords: | Prime graph, order component, finite group, simple group |
| MSC Classifications: |
20D08 - Simple groups: sporadic groups 20D05 - Finite simple groups and their classification 20D60 - Arithmetic and combinatorial problems |