A003844 Order of universal Chevalley group D_5(q), q = prime power.

23499295948800, 2579025599882610278400, 1154606796534757164318720000, 27230655539587500000000000000000, 104772288945650279285144527564308480000, 42863636354909175368011800612065142374400

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

Table of n, a(n) for n=1..6.

Index entries for sequences related to groups.

Formula

a(n) = D(A000961(n+1),5) where D(q,n) is defined in A003830. - Sean A. Irvine, Sep 17 2015

Mathematica

d[q_, n_] := q^(n*(n-1)) * (q^n-1) * Product[q^(2*k) - 1, {k, 1, n-1}]; Table[d[q, 5], {q, Select[Range[12], PrimePowerQ]}] (* Amiram Eldar, Jun 24 2025 *)

Crossrefs

Cf. A000961, A003801, A003830, A003841, A003843, A003845, A003846, A003847.

Sequence in context: A221560 A221562 A003851 * A132909 A104834 A350363

Adjacent sequences: A003841 A003842 A003843 * A003845 A003846 A003847

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved