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2-Generations of the Fourth Janko GroupJ4

โœ Scribed by Shahiem Ganief; Jamshid Moori


Book ID
102570568
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
118 KB
Volume
212
Category
Article
ISSN
0021-8693

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โœฆ Synopsis


A group G is said to be 2-generated if it can be generated by two suitable elements. In this paper the authors continue the study of two special kinds of ลฝ . 2-generations, namely l, m, n -generations and nX-complementary generations, of the sporadic simple groups. The problem is resolved for the group J . แฎŠ 1999 4


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Symmetric Representation of the Elements
โœ R.T. CURTIS; Z. HASAN ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 629 KB

In this paper we represent each element of the Janko group J 1 as a permutation on eleven letters from the projective special linear group L 2 (11), followed by a word of length at most four in the eleven involutory symmetric generators. An algorithm for multiplying elements represented in this way