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Generation of alternating groups by pairs of conjugates |
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| Authors: | L B Beasley J L Brenner P Erdős M Szalay A G Williamson |
| Institution: | (1) Department of Mathematics, Utah State University, 84322 Logan, UT, USA;(2) 10 Phillips Road, 94303 Palo Alto, CA, USA;(3) MTA Matematikai Kutató Intézet, Reáltanoda u. 13-15, P. O. Box 127, H-1364 Budapest, Hungary;(4) Eötvös Loránd Tudományegyetem, Algebra és Számelmélet Tanszék, Múzeum Krt. 6-8, H-1088 Budapest, Hungary;(5) Haywards Heath College, Haywards Heath, West Sussex, England |
| Abstract: | Considering the conjugacy classes of the alternating group of degreen, those classes that contain a pair of generators are in the majority. In fact, the proportion of such classes is 1 – (n), and(n)  0 asn  . |
| Keywords: | Primary 20P05 Secondary 20F05 20D06 20D60 |
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