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- W3201217629 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)." @default.
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- W3201217629 date "2012-01-01" @default.
- W3201217629 modified "2023-09-23" @default.
- W3201217629 title "A new characterization of A 12" @default.
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