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 A085495 Maximal order of a finite subgroup of the group GL(n,Q). 0
 2, 12, 48, 1152, 3840, 103680, 2903040, 696729600, 1393459200, 8360755200, 81749606400, 1961990553600, 51011754393600, 1428329123020800, 42849873690624000, 1371195958099968000, 46620662575398912000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS a(n) is also the maximal degree over Q of an algebraic number that has what the authors call conjugate dimension equal n. LINKS 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. FORMULA 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. CROSSREFS Cf. A000165. Sequence in context: A052588 A139239 A060238 * A119978 A139234 A039784 Adjacent sequences:  A085492 A085493 A085494 * A085496 A085497 A085498 KEYWORD nonn,easy AUTHOR Yuval Dekel (dekelyuval(AT)hotmail.com), Aug 15 2003 EXTENSIONS More terms from N. J. A. Sloane, Dec 20 2006 Terms 2, 4, 6, 7, 8, 9, 10 corrected by M. F. Hasler, Dec 17 2007 STATUS approved

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Last modified December 12 22:06 EST 2019. Contains 329963 sequences. (Running on oeis4.)