Characterization of the symmetric group by its non-commuting graph
عنوان مقاله: Characterization of the symmetric group by its non-commuting graph
شناسه ملی مقاله: JR_THEGR-2-2_007
منتشر شده در در سال 1392
شناسه ملی مقاله: JR_THEGR-2-2_007
منتشر شده در در سال 1392
مشخصات نویسندگان مقاله:
Mohammad Reza Darafsheh - University of Tehran
Pedram Yousefzadeh - K. N. Toosi University of Technology
خلاصه مقاله:
Mohammad Reza Darafsheh - University of Tehran
Pedram Yousefzadeh - K. N. Toosi University of Technology
The non-commuting graph \nabla(G) of a non-abelian group G is defined as follows: its vertex set is G-Z(G) and two distinct vertices x and y are joined by an edge if and only if the commutator of x and y is not the identity. In this paper we prove that if G is a finite group with \nabla(G) \cong \nabla(BS_n), then G \cong BS_n, where BS_n is the symmetric group of degree n, where n is a natural number.
کلمات کلیدی: Keywords and phrases: non-commuting graph, symmetric group, Finite groups
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1199585/