Let $G$ be a finite group and $pi(G)$ be the set of all the prime divisors of $|G|$. The prime graph of $G$ is a simple graph $Gamma(G)$ whose vertex set is $pi(G)$ and two distinct vertices $p$ and $q$ are joined by an edge if and only if $G$ has an element of order $pq$, and in this case we will write $psim q$. The degree of $p$ is the number of vertices adjacent to $p$ and is denoted by $deg(p)$. If $|G|=p^{alpha_{1}}_{1}p^{alpha_{2}}_{2}...p^{alpha_{k}}_{k}$, $p_{i}^{,}$s different primes, $p_{1}<p_{2}<...<p_{k}$, then $D(G)=(deg(p_{1}),deg(p_{2}),...,deg(p_{k}))$ is called the degree pattern of $G$. A finite group $G$ is called $k$-fold OD-characterizable if there exist exactly $k$ non-isomorphic groups $S$ with $|G|=|S|$ and $D(G)=D(S)$. In this paper, we characterize groups with the same order and degree pattern as an almost simple groups related to $L_{3}(25)$.
Rezaeezadeh, G., Darafsheh, M. R., Sajadi, M., & Bibak, M. (2014). OD-Characterization of almost simple groups related to $L_{3}(25)$. Bulletin of the Iranian Mathematical Society, 40(3), 765-790.
MLA
Gholamreza Rezaeezadeh; Mohammad Reza Darafsheh; Masoomeh Sajadi; Masoomeh Bibak. "OD-Characterization of almost simple groups related to $L_{3}(25)$". Bulletin of the Iranian Mathematical Society, 40, 3, 2014, 765-790.
HARVARD
Rezaeezadeh, G., Darafsheh, M. R., Sajadi, M., Bibak, M. (2014). 'OD-Characterization of almost simple groups related to $L_{3}(25)$', Bulletin of the Iranian Mathematical Society, 40(3), pp. 765-790.
VANCOUVER
Rezaeezadeh, G., Darafsheh, M. R., Sajadi, M., Bibak, M. OD-Characterization of almost simple groups related to $L_{3}(25)$. Bulletin of the Iranian Mathematical Society, 2014; 40(3): 765-790.
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