A NEW CHARACTERIZATION OF A12

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LIU SHITIAN; ZHANG RUNSHI

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Journal Paper

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Journal: MATHEMATICAL SCIENCES Year:2012 | Volume:6 | Issue:- Page(s): 1-4

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Title

A NEW CHARACTERIZATION OF A12

Author(s)

LIU SHITIAN | ZHANG RUNSHI | Issue Writer Certificate

Keywords

FINITE GROUP

INSOLUBLE GROUP

SIMPLE GROUP

ORDER OF ELEMENTS

Abstract

Purpose: It is well known that the conjugacy class sizes have an important influence on the structure of a group. This work is considering a different set of ‘sizes’, the number of elements of a given order.Methods: By using the set nse (G) and the order of G, We prove that G is isomorphic to A12.Results: Thompson’s conjecture is true for A112.Conclusions: We proved that a FINITE GROUP G is isomorphic to A12, the alternating group A12 of degree 12 if, and only if, |G|=|A12| and nse (G)= nse (A12).

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APA: Copy

LIU, SHITIAN, & ZHANG, RUNSHI. (2012). A NEW CHARACTERIZATION OF A₁₂. MATHEMATICAL SCIENCES, 6(-), 1-4. SID. https://sid.ir/paper/322593/en

Vancouver: Copy

LIU SHITIAN, ZHANG RUNSHI. A NEW CHARACTERIZATION OF A₁₂. MATHEMATICAL SCIENCES[Internet]. 2012;6(-):1-4. Available from: https://sid.ir/paper/322593/en

IEEE: Copy

SHITIAN LIU, and RUNSHI ZHANG, “A NEW CHARACTERIZATION OF A₁₂,” MATHEMATICAL SCIENCES, vol. 6, no. -, pp. 1–4, 2012, [Online]. Available: https://sid.ir/paper/322593/en

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