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Information Journal Paper

Title

OD-CHARACTERIZATION OF ALMOST SIMPLE GROUPS RELATED TO D4 (4)

Pages

  23-43

Abstract

 Let G be a finite group and pe (G) be the set of orders of all elements in G. The set pe (G) determines the prime graph (or GrunbergKegel graph) G (G) whose vertex set is pe (G). The set of primes dividing the order of G, and two vertices p and q are adjacent if and only if pq  Î pe (G). The degree deg (p) of a vertex p Îp (G), is the number of edges incident on p. Let p (G) = {p1, p2,…, pk} with p1 < p2 <…< pk. We define D(G) := (deg (p1), deg (p2), …, deg (pk)), which is called the DEGREE PATTERN of G. The group G is called K-FOLD OD-CHARACTERIZABLE if there exist exactly k non-isomorphic groups M satisfying conditions |G| = |M| and D(G) = D(M). Usually a 1-fold OD-characterizable group is simply called OD-characterizable. In this paper, we classify all finite groups with the same order and DEGREE PATTERN as an ALMOST SIMPLE GROUPs related to D4 (4).

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    APA: Copy

    REZAEEZADEH, G.R., DARAFSHEH, M.R., BIBAK, M., & SAJJADI, M.. (2015). OD-CHARACTERIZATION OF ALMOST SIMPLE GROUPS RELATED TO D4 (4). IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 10(1), 23-43. SID. https://sid.ir/paper/310387/en

    Vancouver: Copy

    REZAEEZADEH G.R., DARAFSHEH M.R., BIBAK M., SAJJADI M.. OD-CHARACTERIZATION OF ALMOST SIMPLE GROUPS RELATED TO D4 (4). IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2015;10(1):23-43. Available from: https://sid.ir/paper/310387/en

    IEEE: Copy

    G.R. REZAEEZADEH, M.R. DARAFSHEH, M. BIBAK, and M. SAJJADI, “OD-CHARACTERIZATION OF ALMOST SIMPLE GROUPS RELATED TO D4 (4),” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 10, no. 1, pp. 23–43, 2015, [Online]. Available: https://sid.ir/paper/310387/en

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