http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
GENERATING PAIRS FOR THE SPORADIC GROUP Ru
Darafsheh, M.R.,Ashrafi, A.R. 한국전산응용수학회 2003 Journal of applied mathematics & informatics Vol.12 No.1
A finite group G is called (l, m, n)-generated, if it is a quotient group of the triangle group T(l, m, n) = 〈$\chi$, y, z│$\chi$$\^$l/ = y$\^$m/ = z$^n$ = $\chi$yz = 1〉. In [19], the question of finding all triples (l, m, n) such that non-abelian finite simple group are (l, m, n)-generated was posed. In this paper we partially answer this question for the sporadic group Ru. In fact, we prove that if p, q and r are prime divisors of │Ru│, where p < q < r and$.$(p, q) $\neq$ (2, 3), then Ru is (p, q, r)-generated.
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.
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.
EQUIVALENCE CLASSES OF MATRICES IN $GL_2(Q)$ AND $SL_2(Q)$
Darafsheh, M.R.,Larki, F. Nowroozi 한국전산응용수학회 1999 Journal of applied mathematics & informatics Vol.6 No.2
Let G denote either of the groups $GL_2(q)$ or $SL_2(q)$. The mapping $theta$ sending a matrix to its transpose-inverse is an auto-mophism of G and therefore we can form the group $G^+$ = G.<$theta$>. In this paper conjugacy classes of elements in $G^+$ -G are found. These classes are closely related to the congruence classes of invert-ible matrices in G.
THE CHARACTER TABLE OF THE GROUP $GL_2(Q)$WHEN EXTENDED BY A CERTAIN GROUP OF ORDER TWO
Darafsheh, M.R.,Larki, F.Nowroozi 한국전산응용수학회 2000 The Korean journal of computational & applied math Vol.7 No.3
Let G denote either of the groups $GL_2(q)$ or $SL_2(q)$. Then ${\theta}$:G -> G given by ${\theta}(A)$ = ${(A^t)}^{-l}$, where $A^t$ denotes the transpose of the matrix A, is an automorphism of G. Therefore we may form the group G.$<{\theta}>$ which is the split extension of the group G by the cyclic group $<{\theta}>$ of order 2. Our aim in this paper is to find the complex irreducible character table of G.$<{\theta}>$.