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The Prime Avoidance Lemma Revisited
Karamzadeh, Omid Ali Shahny Department of Mathematics 2012 Kyungpook mathematical journal Vol.52 No.2
We show that the above lemma and its well-known refinement are valid, in a general setting, in non-commutative rings. Some interesting consequences are also observed.
A CHARACTERIZATION OF GROUPS PSL(3, q) BY THEIR ELEMENT ORDERS FOR CERTAIN q
Darafsheh, M.R.,Karamzadeh, N.S. 한국전산응용수학회 2002 The Korean journal of computational & applied math Vol.9 No.2
Let G be a finite group and $\omega$(G) the set of elements orders of G. Denote by h($\omega$(G)) the number of isomorphism classes of finite groups H satisfying $\omega$(G)=$\omega$(H). In this paper, we show that for G=PSL(3, q), h($\omega$(G))=1 where q=11, 12, 19, 23, 25 and 27 and h($\omega$(G)=2 where q = 17 and 29.
A CHARACTERIZATION OF GROUPS PSL(3,q) BY THEIR ELEMENT ORDERS FOR CERTAIN q
M.R. Darafsheh,N.S. Karamzadeh 한국전산응용수학회 2002 Journal of applied mathematics & informatics Vol.9 No.2
Let G be a finite group and W(G) the set of element orders ofG. Denote by h(W(G)) the number of isomorphism classes offinite groups H satisfying W(G)=W(H). In this paper, we showthat for G=PSL(3,q), h(W(G))=1 where q=11,13,19,23,25 and27 and h(W(G)=2 where q=17 and 29.