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Title: $nX$-complementary generations of the Harada-Norton group $HN$ (English)
Author: Ashrafi, Ali Reza
Language: English
Journal: Acta Mathematica et Informatica Universitatis Ostraviensis
ISSN: 1211-4774
Volume: 11
Issue: 1
Year: 2003
Pages: 3-9
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Category: math
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MSC: 20D08
MSC: 20F05
idZBL: Zbl 1110.20300
idMR: MR2037306
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Date available: 2009-01-30T09:10:18Z
Last updated: 2013-10-22
Stable URL: http://hdl.handle.net/10338.dmlcz/120590
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Reference: [1] M. Aschbacher: Sporadic group.Cambridge University Press, U.K., 1997.
Reference: [2] A. R. Ashrafi: Generating Pairs for the Thompson Group Th.to be submitted.
Reference: [3] A. R. Ashrafi: Generating Pairs for the Held Gгoup He.to appear in Ј. Appl. Math. & Computing, 2002. MR 1922179
Reference: [4] A. R. Ashrafi, A. Iranmanesh: nX-Complementary Generations of the Rudvalis Group Ru.to be submitted. Zbl 1084.20009
Reference: [5] M. D. E. Conder: Sorne results on quotients of triangle groups.Bull. Austral. Math. Soc. 30 (1984), 73-90. MR 0753563, 10.1017/S0004972700001738
Reference: [6] M. D. E. Conder R. A. Wilson, A. Ј. Woider: The symmetric genus of sporadìc groups.Proc. Amer. Math. Soc. 116 (1992), 653-663. MR 1126192, 10.1090/S0002-9939-1992-1126192-2
Reference: [7] Ј. H. Conway R. T. Curtis S. P. Norton R. A. Parker, R. A. Wilson: Atlas of Finite Groups.Oxford Univ. Press (Clarendon), Oxford, 1985. MR 0827219
Reference: [8] M. R. Darafsheh, A. R. Ashrafi: $(2,p,g)$-Generation of the Conway group $Co_1$.Kumamoto J. Math., 13 (2000), 1-20. MR 1759214
Reference: [9] M. R. Darafsheh, A. R. Ashrafi: Generatin Pairs for the Sporadic Group Ru.to be submitted.
Reference: [10] M. R. Darafsheh A. R. Ashrafi, G. A. Moghani: $(p, q, r)$-Generations of the Conway group $Co_1$, for odd p.Kumamoto J. Math., 14 (2001), 1-20. MR 1835386
Reference: [11] M. R. Darafsheh A. R. Ashrafi, G. A. Moghani: (p, 9,r)-Generations and nX-Complementary Generations of the Sporadic Group Ly.to appear in Kumamoto J. Math., 2002.
Reference: [12] M. R. Darafsheh A. R. Ashrafi, G. A. Moghani: (p, q, r)-Generations of the Sporadic group O' N.to appear in LMS lecture note serries. MR 2051521
Reference: [13] M. R. Darafsheh G. A. Moghani, A. R. Ashrafi: nX-Complementary Generations of the Conway Group $Co_1$.to be submitted.
Reference: [14] M. R. Darafsheh A. R. Ashrafi, G. A. Moghani: (p, q, r)-Generations of the Sporadic Group O'N.to appear in Southeat Asian Bull, of Math., 2003.
Reference: [15] M. R. Darafsheh, G. A. Moghani: nX-complementary Generations of the Sporadic Group He.To appear in Italian J. Pure and Appl. Math. Zbl 1138.20015, MR 2091721
Reference: [16] S. Ganief, J. Moori: $(p, g,r)$-Generations of the smallest Conway group $Co_3$.J. Algebra 188 (1997), 516-530. MR 1435372, 10.1006/jabr.1996.6828
Reference: [17] S. Ganief, J. Moori: Generating pairs for the Conway groups $Co_2$ and $Co_3$.J. Group Theory 1 (1998), 237-256. Zbl 0906.20020, MR 1633168
Reference: [18] S. Ganief, J. Moori: 2-Generations of the Forth Janko Group $J_4$.J. Algebra 212 (1999), 305-322. MR 1670678, 10.1006/jabr.1998.7578
Reference: [19] S. Ganief, J. Moori: (p, q, r)-Generations and nX-complementary generations of the sporadic groups HS and McL.J. Algebra 188 (1997), 531-546. Zbl 0874.20017, MR 1435373, 10.1006/jabr.1996.6829
Reference: [20] J. Moori: $(p, q, r)$-Generations for the Janko groups $J\sb 1$ and $J\sb 2$.Nova J. Algebra and Geometry, Vol. 2, No. 3 (1993), 277-285. Zbl 0868.20016, MR 1284456
Reference: [21] J. Moori: (2, 3,p)-Generations for the Fischer group $F\sb{22}$.Comm. Algebra 2(11) (1994), 4597-4610. Zbl 0806.20018, MR 1284347, 10.1080/00927879408825089
Reference: [22] M. Schonert, al.: GAP, Groups, Algorithms and Programming.Lehrstuhl De für Mathematik, RWTH, Aachen, 1992.
Reference: [23] A. J. Woldar: Representing $M\sb{11}$, $M\sb{12}$, $M\sb{22}$ and $M\sb{23}$ on surfaces of least genus.Comm. Algebra 18 (1990), 15-86. Zbl 0701.20013, MR 1037897
Reference: [24] A. J. Woldar: Sporadic simple groups which are Hurwitz.J. Algebra 144(1991), 443-450. Zbl 0736.20012, MR 1140615
Reference: [25] A. J. Woldar: 3/2-Generation of the Sporadic, simple groups.Comm. Algebra 22 (2) (1994), 675-685. Zbl 0806.20020, MR 1255885, 10.1080/00927879408824867
Reference: [26] A. J. Woldar: On Hurwitz generation and genus actions of sporadic groups.Illinois Math. J. (3) 33 (1989), 416-437. Zbl 0654.20014, MR 0996351
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