CHARACTERIZATION OFA5 AND PSL (2,7) BY SUM OF ELEMENT ORDERS

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JAFARIAN AMIRI S.M.

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Journal: INTERNATIONAL JOURNAL OF GROUP THEORY Year:2013 | Volume:2 | Issue:2 Page(s): 35-39

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Information Journal Paper

Title

CHARACTERIZATION OFA5 AND PSL (2,7) BY SUM OF ELEMENT ORDERS

Author(s)

JAFARIAN AMIRI S.M. | Issue Writer Certificate

Keywords

FINITE GROUPSQ4

SIMPLE GROUPQ4

ELEMENT ORDERSQ4

Abstract

Let G be a finite group. We denote by ψ(G) the integer ågÎGo(g), where o(g) denotes the order of gÎG. Here we show that ψ(A5)<ψ(G) for every non-simple group G of order 60, where A5 is the alternating group of degree 5. Also we prove that ψ(PSL (2,7))<ψ(G) for all non-simple groups G of order 168. These two results confirm the conjecture posed in [J. Algebra Appl., 10 No.2 (2011) 187-190] for SIMPLE GROUPs A5 and PSL (2,7).

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APA: Copy

JAFARIAN AMIRI, S.M.. (2013). CHARACTERIZATION OFA₅ AND PSL (2,7) BY SUM OF ELEMENT ORDERS. INTERNATIONAL JOURNAL OF GROUP THEORY, 2(2), 35-39. SID. https://sid.ir/paper/212643/en

Vancouver: Copy

JAFARIAN AMIRI S.M.. CHARACTERIZATION OFA₅ AND PSL (2,7) BY SUM OF ELEMENT ORDERS. INTERNATIONAL JOURNAL OF GROUP THEORY[Internet]. 2013;2(2):35-39. Available from: https://sid.ir/paper/212643/en

IEEE: Copy

S.M. JAFARIAN AMIRI, “CHARACTERIZATION OFA₅ AND PSL (2,7) BY SUM OF ELEMENT ORDERS,” INTERNATIONAL JOURNAL OF GROUP THEORY, vol. 2, no. 2, pp. 35–39, 2013, [Online]. Available: https://sid.ir/paper/212643/en

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