A003932 Order of universal Chevalley group B_3(q), q = prime power.

1451520, 9170703360, 4106059776000, 457002000000000, 546914437209907200, 9077005607176765440, 108051462804999168000, 7338585441586912128000, 245593958671812227742720, 19266960106724096212992000, 68852034247000426560552960, 712225595693024258315904000

Offset

1,1

References

J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups. Oxford Univ. Press, 1985 [for best online version see https://oeis.org/wiki/Welcome#Links_to_Other_Sites], p. xvi.

H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, p. 131.

Links

Robin Visser, Table of n, a(n) for n = 1..10000

Formula

a(n) = B(A000961(n + 1), 3) where B(q,n) is defined in A003920. - Sean A. Irvine, Sep 22 2015

Prog

(Magma) [#SymplecticGroup(6, q) : q in [2..50] | IsPrimePower(q)];  // Robin Visser, Aug 07 2023

Crossrefs

Sequence in context: A184789 A003939 A364783 * A364782 A205044 A237314

Adjacent sequences: A003929 A003930 A003931 * A003933 A003934 A003935

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Robin Visser, Aug 07 2023

Status

approved