A003846
Order of universal Chevalley group D_7(q), q = prime power.
Original entry on oeis.org
1691555775522928280469504000, 22941271269626791484963824552883153534976000, 5722569627753465177061732369386833143098255605760000000, 3870897639595436240585697704315185546875000000000000000000000000
Offset: 1
- 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.
-
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 *)
A003843
Order of universal Chevalley group D_4(q), q = prime power.
Original entry on oeis.org
174182400, 19808719257600, 67010895544320000, 35646156000000000000, 450219964711195607040000, 19031213036231093492121600, 516728027484579221176320000, 142998501741091915820267520000
Offset: 1
- 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.
-
d[q_, n_] := q^(n*(n-1)) * (q^n-1) * Product[q^(2*k) - 1, {k, 1, n-1}]; Table[d[q, 4], {q, Select[Range[12], PrimePowerQ]}] (* Amiram Eldar, Jun 24 2025 *)
A003844
Order of universal Chevalley group D_5(q), q = prime power.
Original entry on oeis.org
23499295948800, 2579025599882610278400, 1154606796534757164318720000, 27230655539587500000000000000000, 104772288945650279285144527564308480000, 42863636354909175368011800612065142374400
Offset: 1
- 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.
-
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 *)
A003845
Order of universal Chevalley group D_6(q), q = prime power.
Original entry on oeis.org
50027557148216524800, 27051378802435080953011843891200, 5081732431326820541485324550799360000000, 12987912192212013697265625000000000000000000000
Offset: 1
- 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.
-
d[q_, n_] := q^(n*(n-1)) * (q^n-1) * Product[q^(2*k) - 1, {k, 1, n-1}]; Table[d[q, 6], {q, Select[Range[12], PrimePowerQ]}] (* Amiram Eldar, Jun 24 2025 *)
Showing 1-4 of 4 results.