Recognizing L 2 ( p ) by its order and one special conjugacy class size
نویسندگان
چکیده
منابع مشابه
Characterization of $mathrm{PSL}(5,q)$ by its Order and One Conjugacy Class Size
Let $p=(q^4+q^3+q^2+q+1)/(5,q-1)$ be a prime number, where $q$ is a prime power. In this paper, we will show $Gcong mathrm{PSL}(5,q)$ if and only if $|G|=|mathrm{PSL}(5,q)|$, and $G$ has a conjugacy class size $frac{| mathrm{PSL}(5,q)|}{p}$. Further, the validity of a conjecture of J. G. Thompson is generalized to the groups under consideration by a new way.
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* Supported by a grant from the Graduiertenkolleg " Analyse und Konstruktion in der Mathematik " , RWTH Aachen.
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2012
ISSN: 1029-242X
DOI: 10.1186/1029-242x-2012-310