Let $G$ be a finite group. The degree pattern of $G$ denoted by $D(G)$ is defined as follows: If $\pi(G)=\{p_{1},p_{2},...,p_{k}\}$ such that $p_{1}<p_{2}<...<p_{k}$, then $D(G):=(deg(p_{1}),deg(p_{2}),...,deg(p_{k}))$, where $deg(p_{i})$ for $1\leq i\leq k$, are the degree of vertices $p_{i}$ in the prime graph of $G$. In this article, we consider a finite group $G$ under assumptions $|G|=|L_{4}(2^{n})|$ and $D(G)=D(L_{4}(2^{n}))$, where $n\in\{5, 6, 7\}$ and we prove that $G\cong L_{4}(2^{n})$.
Sajjadi, M., Bibak, M., Rezaeezadeh, G. (2016). Characterization of some projective special linear groups in dimension four by their orders and degree patterns. Bulletin of the Iranian Mathematical Society, 42(1), 27-36.
MLA
M. Sajjadi; M. Bibak; G. R. Rezaeezadeh. "Characterization of some projective special linear groups in dimension four by their orders and degree patterns". Bulletin of the Iranian Mathematical Society, 42, 1, 2016, 27-36.
HARVARD
Sajjadi, M., Bibak, M., Rezaeezadeh, G. (2016). 'Characterization of some projective special linear groups in dimension four by their orders and degree patterns', Bulletin of the Iranian Mathematical Society, 42(1), pp. 27-36.
VANCOUVER
Sajjadi, M., Bibak, M., Rezaeezadeh, G. Characterization of some projective special linear groups in dimension four by their orders and degree patterns. Bulletin of the Iranian Mathematical Society, 2016; 42(1): 27-36.
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