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Search: id:A001034
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| A001034 |
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Orders of non-cyclic simple groups (without repetition).
(Formerly M5318 N2311)
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+0
17
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| 60, 168, 360, 504, 660, 1092, 2448, 2520, 3420, 4080, 5616, 6048, 6072, 7800, 7920, 9828, 12180, 14880, 20160, 25308, 25920, 29120, 32736, 34440, 39732, 51888, 58800, 62400, 74412, 95040, 102660, 113460, 126000, 150348, 175560, 178920
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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This comment is about the four sequences A001034, A060793, A056866, A056868: The Feit-Thompson theorem says that a finite group with odd order is solvable, hence apart from the first trivial term of A060793 all the other numbers in these sequences are even. - Ahmed Fares (ahmedfares(AT)my-deja.com), May 08 2001
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REFERENCES
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C. Cato, The orders of the known simple groups as far as one trillion, Math. Comp., 31 (1977), 574-577.
J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups. Oxford Univ. Press, 1985.
Dickson L.E. Linear groups, with an exposition of the Galois field theory (Teubner, 1901), p. 309.
M. Hall, Jr., A search for simple groups of order less tha one million, pp. 137-168 of J. Leech, editor, Computational Problems in Abstract Algebra. Pergamon, Oxford, 1970.
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LINKS
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David A. Madore, Table of n, a(n) for n = 1..491 [taken from link below]
L. E. Dickson, Linear Groups with an Exposition of the Galois Field Theory (page images), Dover, NY, 1958, p. 309.
David A. Madore, More terms
Index entries for sequences related to groups
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CROSSREFS
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Cf. A000001, A000679, A005180, A001228, A060793, A056866, A056868, A119630.
Cf. A109379 (orders with repetition), A119648 (orders that are repeated).
Sequence in context: A044773 A118671 A109379 this_sequence A119630 A112827 A082529
Adjacent sequences: A001031 A001032 A001033 this_sequence A001035 A001036 A001037
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KEYWORD
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nonn,nice
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AUTHOR
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njas, Simon Plouffe (plouffe(AT)math.uqam.ca)
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