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A005180 Orders of simple groups.
(Formerly M0651)
+0
8
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)
OFFSET

1,2

COMMENT

Officially the group of order 1 is not considered to be simple - see for example Rotman, Group Theory.

REFERENCES

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.

LINKS

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

CROSSREFS

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

KEYWORD

nonn,nice,easy

AUTHOR

njas, R. K. Guy

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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