A NEW CHARACTERIZATION OF SOME LINEAR GROUPS BY NSE
2013 ◽
Vol 13
(02)
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pp. 1350094
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Keyword(s):
Let G be a finite group and πe(G) be the set of element orders of G. Assume that k ∈ πe(G) and mk(G) is the number of elements of order k in G. Set nse (G) ≔ {mk(G) | k ∈ πe(G)}, we call nse (G) the set of numbers of elements with same order. In this paper, we give a new characterization of simple linear group L2(2a) by its order |L2(2a)| and the set nse (L2(2a)), where either 2a - 1 or 2a + 1 is a prime.
2006 ◽
Vol 16
(02)
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pp. 341-349
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Keyword(s):
2013 ◽
Vol 21
(3)
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pp. 43-50
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2014 ◽
Vol 14
(02)
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pp. 1550012
Keyword(s):
2013 ◽
Vol 12
(07)
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pp. 1350040
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2009 ◽
Vol 19
(05)
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pp. 681-698
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1969 ◽
Vol 21
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pp. 1025-1041
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Keyword(s):
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