Title of article
A new characterization of A12
Author/Authors
Liu, Shitian Sichuan University of Science and Engineering - School of Science, China , Zhang, Runshi Sichuan University of Science and Engineering - School of Science, China
From page
1
To page
4
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).
Keywords
Finite group , Insoluble group , Simple group , Order of elements
Journal title
Mathematical Sciences
Journal title
Mathematical Sciences
Record number
2568901
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