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. R. (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
Sajjadi, M. &., Bibak, M., & Rezaeezadeh, G. R. "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. R. (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.
CHICAGO
Sajjadi, M. &., Bibak, M. & Rezaeezadeh, G. R., "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,
VANCOUVER
Sajjadi M. &., Bibak M., Rezaeezadeh G. R. Characterization of some projective special linear groups in dimension four by their orders and degree patterns. BIMS. 2016;42(1):27–36.
