ON THE NSE CHARACTERIZATION OF CERTAIN FINITE SIMPLE GROUPS

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Rahbariyan Sakineh; Azad Azizollah

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Journal Paper

Paper Information

Journal: Algebraic structures and their applications Year:2021 | Volume:8 | Issue:2 Page(s): 51-65

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Title

ON THE NSE CHARACTERIZATION OF CERTAIN FINITE SIMPLE GROUPS

Author(s)

Rahbariyan Sakineh | Azad Azizollah | Issue Writer Certificate

Keywords

Element order

finite simple group

prime graph

Abstract

For a group G, π, e(G) and sm(G) are denoted the set of orders of elements and the number of elements of order m in G, respectively. Let nse(G) = fsm(G) j m 2 π, e(G)g. An arbitrary , nite group M is NSE characterization if, for every group G, the equality nse(G) = nse(M) implies that G , = M. In this paper, we are going to show that the non-Abelian finite simple groups A9, A10, A12, U4(3), U5(2), U6(2), S6(2), O+ 8 (2) and HS are characterizable by NSE.

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APA: Copy

Rahbariyan, Sakineh, & Azad, Azizollah. (2021). ON THE NSE CHARACTERIZATION OF CERTAIN FINITE SIMPLE GROUPS. ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS, 8(2), 51-65. SID. https://sid.ir/paper/1059366/en

Vancouver: Copy

Rahbariyan Sakineh, Azad Azizollah. ON THE NSE CHARACTERIZATION OF CERTAIN FINITE SIMPLE GROUPS. ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS[Internet]. 2021;8(2):51-65. Available from: https://sid.ir/paper/1059366/en

IEEE: Copy

Sakineh Rahbariyan, and Azizollah Azad, “ON THE NSE CHARACTERIZATION OF CERTAIN FINITE SIMPLE GROUPS,” ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS, vol. 8, no. 2, pp. 51–65, 2021, [Online]. Available: https://sid.ir/paper/1059366/en

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