Implications of conjugacy class size
نویسنده
چکیده
* Supported by a grant from the Graduiertenkolleg " Analyse und Konstruktion in der Mathematik " , RWTH Aachen.
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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