ON THOMPSON'S CONJECTURE FOR ALTERNATING GROUP \(A_{26}\)
Keywords:
element order, alternating group, thompson's conjecture, conjugacy classes, simple groupAbstract
Let G be a group. Denote by N(G) the set of nonidentity orders of conjugacy classes of elements in G. For groups A10, A16 and A22 which are uniquely determined by N(G), theses degrees are p+3 and p+4 is a prime with p = 7, 13, 19. If p+4 is composite, then whether can the groups Ap+3 be characterized by N(G). In this paper, we give an example for Ap+3 with p+4 composite, namely, we proved that if G is a group with trivial center and N(G) = N(A26), then G \(\cong\) A26.
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Published
2014-08-22
How to Cite
Liu, S., & Huang, Y. (2014). ON THOMPSON’S CONJECTURE FOR ALTERNATING GROUP \(A_{26}\). Italian Journal of Pure and Applied Mathematics, 32, 525–532. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6176
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Articoli - Forum Editrice
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Copyright (c) 2014 Shitian Liu, Yanhua Huang
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
