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- Title
A new characterization of <em>PSU</em>(<em>p,q</em>).
- Authors
Khosravi, Bahman; Khosravi, Behnam; Khosravi, Behrooz
- Abstract
Let <em>G</em> be a finite group. Order components of <em>G</em> were introduced in Chen [5]. Let <em>OC</em> ( <em>G</em> ) be the set of order components of <em>G</em> . Some finite groups are characterizable by their order components. This assertion was proved for the simple groups <em>PSU</em> ( <em>p,q</em> ), where <em>p</em> =3, 5, 7 and 11. In this paper, we prove that the simple groups <em>PSU</em> ( <em>p</em> , <em>q</em> ) can be uniquely determined by their order components, where <em>p≥</em> 13 is a prime number. Main consequences of our results are the validity of a conjecture of J. G. Thompson and another conjecture of W. Shi and J. Bi for the groups under consideration.
- Subjects
GROUP theory; LOGICAL prediction; NATURAL numbers; TRUTHFULNESS &; falsehood; ALGEBRA; MATHEMATICS
- Publication
Acta Mathematica Hungarica, 2005, Vol 107, Issue 3, p235
- ISSN
0236-5294
- Publication type
Article
- DOI
10.1007/s10474-005-0193-z