Akbari, B. (2019). A characterization of some simple unitary groups via order and degree pattern of solvable graph. Algebraic Structures and Their Applications, 6(2), 115-127. doi: 10.29252/as.2019.1614

Banafsheh Akbari. "A characterization of some simple unitary groups via order and degree pattern of solvable graph". Algebraic Structures and Their Applications, 6, 2, 2019, 115-127. doi: 10.29252/as.2019.1614

Akbari, B. (2019). 'A characterization of some simple unitary groups via order and degree pattern of solvable graph', Algebraic Structures and Their Applications, 6(2), pp. 115-127. doi: 10.29252/as.2019.1614

Akbari, B. A characterization of some simple unitary groups via order and degree pattern of solvable graph. Algebraic Structures and Their Applications, 2019; 6(2): 115-127. doi: 10.29252/as.2019.1614

A characterization of some simple unitary groups via order and degree pattern of solvable graph

^{}Department of Mathematics, Sahand University of Technology, Tabriz, IRAN.

Abstract

The solvable graph associated with a finite group $G$, denoted by ${\Gamma}_{\rm s}(G)$, is a simple graph whose vertices are the prime divisors of $|G|$ and two distinct primes $p$ and $q$ are joined by an edge if and only if there exists a solvable subgroup of $G$ whose order is divisible by $pq$. In this paper, we give a characterization for projective special unitary groups $U_3(q)$ with some certain conditions by the solvable graph.

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