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Information Journal Paper

Title

CHARACTERIZATION OF THE SYMMETRIC GROUP BY ITS NON-COMMUTING GRAPH

Pages

  47-72

Abstract

 The NON-COMMUTING GRAPH Ñ(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 Ñ(G)@Ñ(Sn), then G@Sn, where Sn is the SYMMETRIC GROUP of degree n, where n is a natural number.

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    APA: Copy

    DARAFSHEH, M.R., & YOUSEFZADEH, P.. (2013). CHARACTERIZATION OF THE SYMMETRIC GROUP BY ITS NON-COMMUTING GRAPH. INTERNATIONAL JOURNAL OF GROUP THEORY, 2(2), 47-72. SID. https://sid.ir/paper/212645/en

    Vancouver: Copy

    DARAFSHEH M.R., YOUSEFZADEH P.. CHARACTERIZATION OF THE SYMMETRIC GROUP BY ITS NON-COMMUTING GRAPH. INTERNATIONAL JOURNAL OF GROUP THEORY[Internet]. 2013;2(2):47-72. Available from: https://sid.ir/paper/212645/en

    IEEE: Copy

    M.R. DARAFSHEH, and P. YOUSEFZADEH, “CHARACTERIZATION OF THE SYMMETRIC GROUP BY ITS NON-COMMUTING GRAPH,” INTERNATIONAL JOURNAL OF GROUP THEORY, vol. 2, no. 2, pp. 47–72, 2013, [Online]. Available: https://sid.ir/paper/212645/en

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