- Hacettepe Journal of Mathematics and Statistics
- Vol: 44 Issue: 4
- A new characterization of L$_2(2_m)$
A new characterization of L$_2(2_m)$
Authors : Hosein Parvizi Mosaed, Ali Iranmanesh, Mahnaz Foroudi Ghasemabadi, Abolfazl Tehranian
Pages : 875-886
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Publication Date : 2015-08-01
Article Type : Research
Abstract :Let G be a group and π ( G ) be the set of primes p such that G contains an element of order p . Let nse ( G ) be the set of numbers of elements of G of the same order. In this paper, we prove that the simple group L 2 (2 m ) is uniquely determined by nse ( L 2 (2 m )) , where | π ( L 2 (2 m )) | = 4 .Keywords : Element order, set of the numbers of elements of the same order, simple Kn-group, projective special linear group