摘要

Let G be a finite group. The character degree graph Gamma(G) of G is the graph whose vertices are the prime divisors of character degrees of G and two vertices p and q are joined by an edge if pq divides the character degree of G. Let L-n(q) be the projective special linear group of degree n over a finite field of order q. Khosravi et. al. have shown that the simple groups L-2(p(2)), and L-2(p) where p is an element of {7, 8, 11, 13, 17, 19} are characterizable by the degree graphs and their orders. In this paper, we give a characterization of L-3(4) by using the character degree graph and its order.

  • 出版日期2016-3-1
  • 单位四川轻化工大学

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