A new characterization of PSL(2, 25)
Let G be a finite group and pi_{e}(G) be the set of element orders of G. Let k in pi_{e}(G) and m_{k} be the number of elements of order k in G. Let nse(G):={ m_{k} | k in pi_{e}(G)}. In this paper, we prove that if G is a group such that nse(G)=nse(PSL(2, 25)), then G is isomorphic to PSL(2, 25).
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Isfahan
2012-09-01
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| Series: | International Journal of Group Theory |
| Subjects: | |
| Online Access: | http://www.theoryofgroups.ir/?_action=showPDF&article=765&_ob=3cb589fd74c1a6fe0587c1d1dc0a64f1&fileName=full_text.pdf |