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

Authors : Hosein Parvizi MOSAED, Ali IRANMANESH, Mahnaz Foroudi GHASEMABADİ, Abolfazl TEHRANİAN

Pages : 875-886

View : 21 | Download : 13

Publication Date : 2015-08-01

Article Type : Research Paper

Abstract :Let G be a group and π insert ignore into journalissuearticles values( G ); be the set of primes p such that G contains an element of order p . Let nse insert ignore into journalissuearticles values( 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 insert ignore into journalissuearticles values(2 m ); is uniquely determined by nse insert ignore into journalissuearticles values( L 2 insert ignore into journalissuearticles values(2 m );); , where | π insert ignore into journalissuearticles values( L 2 insert ignore into journalissuearticles values(2 m );); | = 4 . 
Keywords : Element order, set of the numbers of elements of the same order, simple Kn group, projective special linear group