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Search: id:A005180
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| A005180 |
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Orders of simple groups. (Formerly M0651)
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+0 8
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| 1, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 60, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 168, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Officially the group of order 1 is not considered to be simple - see for example Rotman, Group Theory.
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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.
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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T. D. Noe, Table of n, a(n) for n=1..1000
M. Aschbacher, Review of "Classification of the finite simple groups" by D. Gorenstein, R. Lyons & R. Solomon
M. Aschbacher, Review of "Classification of the finite simple groups, No. 2" by D. Gorenstein, R. Lyons & R. Solomon
Dept. of Pure Math., Univ. Sheffield, The Classification of Finite Simple Groups
D. Gorenstein, R. Lyons & R. Solomon, The Classification of the Finite Simple Groups, AMS Books Online, Providence RI 1994.
D. Gorenstein, R. Lyons & R. Solomon, The Classification of the Finite Simple Groups, Number 2, AMS Books Online, Providence RI 1996.
R. Solomon, A Brief History Of The Classification Of The Finite Simple Groups
R. A. Wilson et al., ATLAS of Finite Group Representations
Index entries for sequences related to groups
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CROSSREFS
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Cf. A000001, A001228. Union of {1}, A000040 and A001034.
Sequence in context: A117095 A054403 A092579 this_sequence A118848 A094742 A110923
Adjacent sequences: A005177 A005178 A005179 this_sequence A005181 A005182 A005183
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KEYWORD
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nonn,nice,easy
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AUTHOR
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njas, R. K. Guy
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