A new characterization of L$_2(2_m)$

Yıl 2015, Cilt: 44 Sayı: 4, 875 - 886, 01.08.2015

Hosein Parvizi Mosaed Ali Iranmanesh Mahnaz Foroudi Ghasemabadi Abolfazl Tehranian

Öz

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
L2(2m) is uniquely determined by nse(L2(2m)), where |π(L2(2m))| = 4. 

Anahtar Kelimeler

Element order, set of the numbers of elements of the same order, simple Kn-group, projective special linear group

Kaynakça

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