A003846 Order of universal Chevalley group D_7(q), q = prime power.

1691555775522928280469504000, 22941271269626791484963824552883153534976000, 5722569627753465177061732369386833143098255605760000000, 3870897639595436240585697704315185546875000000000000000000000000

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• easy

References

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

Links

• Index entries for sequences related to groups.

Crossrefs

Cf. A000961, A003801, A003830, A003841, A003843, A003844, A003845, A003847.

Programs

Mathematica

d[q_, n_] := q^(n*(n-1)) * (q^n-1) * Product[q^(2*k) - 1, {k, 1, n-1}]; Table[d[q, 7], {q, Select[Range[12], PrimePowerQ]}] (* Amiram Eldar, Jun 24 2025 *)

Formula

a(n) = D(A000961(n+1),7) where D(q,n) is defined in A003830. - Sean A. Irvine, Sep 17 2015