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Search: id:A124678
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| A124678 |
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Number of conjugacy classes in PSL_2(p), p = prime(n). |
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+0
3
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| 3, 4, 5, 6, 8, 9, 11, 12, 14, 17, 18, 21, 23, 24, 26, 29, 32, 33, 36, 38, 39, 42, 44, 47, 51, 53, 54, 56, 57, 59, 66, 68, 71, 72, 77, 78, 81, 84, 86, 89, 92, 93, 98, 99, 101, 102, 108, 114, 116, 117, 119, 122, 123, 128, 131, 134, 137, 138, 141, 143, 144, 149, 156, 158
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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A great deal is known about the number of conjugacy classes in the classical linear groups. See for example Dornhoff, Section 38, or Green.
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REFERENCES
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Dornhoff, Larry, Group representation theory. Part A: Ordinary representation theory. Marcel Dekker, Inc., New York, 1971.
Green, J. A., The characters of the finite general linear groups. Trans. Amer. Math. Soc. 80 (1955), 402-447.
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LINKS
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K. Brockhaus, Table of n, a(n) for n=1..270
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PROGRAM
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(MAGMA) [ NumberOfClasses(PSL(2, p)) : p in [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37] ];
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CROSSREFS
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Cf. A000702, A006951, A124679, A124681.
Sequence in context: A047428 A039066 A026363 this_sequence A026460 A026464 A051957
Adjacent sequences: A124675 A124676 A124677 this_sequence A124679 A124680 A124681
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KEYWORD
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nonn
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AUTHOR
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njas, Dec 25 2006
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EXTENSIONS
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More terms from Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Dec 26 2006
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