

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
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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), 237252.


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



