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Search: id:A073043
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| A073043 |
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Number of nonisomorphic (finite) groups with n conjugacy classes. |
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+0
6
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| 1, 1, 2, 4, 8, 8, 12, 21, 26, 38, 35, 32
(list; graph; listen)
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OFFSET
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1,3
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REFERENCES
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E. K. Annavaddar, Determination of the Finite Groups Having Eight Conjugacy Classes. Ph.D. Diss., Arizona State Univ., 1971.
I. M. Isaacs, Algebra, Brooks/Cole, 1994; pp. 48-49 (for n = 4).
T. Y. Lam, Exercises in Classical Ring Theory, Springer, 1995; pp. 92-93 (for n=1,2,3).
J. Poland, Finite groups with a given number of conjugate classes. Canad. J. Math. 20 1968 456-464 (for n <= 7).
Antonio Vera Lopez and Juan Vera Lopez, Classification of finite groups according to the number of conjugacy classes. Israel Journal of Mathematics, 51 (1985), No. 4.
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LINKS
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Index entries for sequences related to groups
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FORMULA
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Equals A003061 + A000688.
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EXAMPLE
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n=1: C_1; n=2: C_2; n=3: A_3 or S_3; n=4: C_2 X C_2, C_4, A_4, D_10.
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CROSSREFS
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Cf. A109230, A003061, A002319, A006379, A000688.
Sequence in context: A054785 A123263 A008218 this_sequence A083542 A088244 A073616
Adjacent sequences: A073040 A073041 A073042 this_sequence A073044 A073045 A073046
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KEYWORD
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nonn,nice,more
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Aug 30, 2002
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EXTENSIONS
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Corrected and extended by A. S. Muktibodh (amukti2000(AT)yahoo.com), Nov 07 2006
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