Subgroup coverings of some linear groups

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NSE characterization of some linear groups

‎For a finite group $G$‎, ‎let $nse(G)={m_kmid kinpi_e(G)}$‎, ‎where $m_k$ is the number of elements of order $k$ in $G$‎ ‎and $pi_{e}(G)$ is the set of element orders of $G$‎. ‎In this paper‎, ‎we prove that $Gcong L_m(2)$ if and only if $pmid |G|$ and $nse(G)=nse(L_m(2))$‎, ‎where $min {n,n+1}$ and $2^n-1=p$ is a prime number.

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ژورنال

عنوان ژورنال: Bulletin of the Australian Mathematical Society

سال: 1999

ISSN: 0004-9727,1755-1633

DOI: 10.1017/s0004972700036364