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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

Table of n, a(n) for n=1..17.

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.)