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Search: id:A085495
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| A085495 |
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Maximal order of a finite subgroup of the group GL(n,Q). |
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+0
1
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| 2, 12, 48, 1152, 3840, 103680, 2903040, 696729600, 1393459200, 8360755200, 81749606400, 1961990553600, 51011754393600, 1428329123020800, 42849873690624000, 1371195958099968000, 46620662575398912000
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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a(n) is also the maximal degree over Q of an algebraic number that has what the authors call conjugate dimension equal n.
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LINKS
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N. Berry, A. Dubickas, N. D. Elkies, B. Poonen and C. Smyth, The conjugate dimension of algebraic numbers, Quart. J. Math., 55 (2004), 237-252.
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FORMULA
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For all n other than the seven exceptional values 2, 4, 6, 7, 8, 9, 10, a(n) = A000165(n) = 2^n * n! and the relevant group is the group of n X n signed permutation matrices.
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CROSSREFS
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Cf. A000165.
Sequence in context: A052588 A139239 A060238 this_sequence A119978 A139234 A039784
Adjacent sequences: A085492 A085493 A085494 this_sequence A085496 A085497 A085498
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KEYWORD
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nonn,easy
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AUTHOR
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Yuval Dekel (dekelyuval(AT)hotmail.com), Aug 15 2003
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EXTENSIONS
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More terms from N. J. A. Sloane (njas(AT)research.att.com), Dec 20 2006
Terms 2, 4, 6, 7, 8, 9, 10 corrected by M. F. Hasler (MHasler(AT)univ-ag.fr), Dec 17 2007
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