cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-6 of 6 results.

A003931 Order of universal Chevalley group B_2(q), q = prime power.

Original entry on oeis.org

720, 51840, 979200, 9360000, 276595200, 1056706560, 3443212800, 25721308800, 137037962880, 1095199948800, 2008994088960, 6114035779200, 41348052472320, 95214600000000, 205608315669120, 420206392771200, 818774509363200, 1124799322521600, 4805069329111680, 13414669637644800
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

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

Crossrefs

Cf. A000961, A003920, A003932, A003933, A003934, A003935, A003936, A003937.

Programs

  • Magma
    [#SymplecticGroup(4,q) : q in [2..50] | IsPrimePower(q)];  // Robin Visser, Aug 06 2023
  • Mathematica
    B[q_, n_] := q^(n^2) * Product[q^(2*k) - 1, {k, 1, n}]; Table[B[q, 2], {q, Select[Range[50], PrimePowerQ]}] (* Amiram Eldar, Jun 24 2025 *)

Formula

a(n) = B(A000961(n + 1), 2) where B(q,n) is defined in A003920. - Sean A. Irvine, Sep 22 2015

Extensions

More terms from Robin Visser, Aug 06 2023

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

Original entry on oeis.org

1451520, 9170703360, 4106059776000, 457002000000000, 546914437209907200, 9077005607176765440, 108051462804999168000, 7338585441586912128000, 245593958671812227742720, 19266960106724096212992000, 68852034247000426560552960, 712225595693024258315904000
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

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

Crossrefs

Cf. A000961, A003920, A003931, A003933, A003934, A003935, A003936, A003937.

Programs

  • Magma
    [#SymplecticGroup(6, q) : q in [2..50] | IsPrimePower(q)];  // Robin Visser, Aug 07 2023
  • Mathematica
    B[q_, n_] := q^(n^2) * Product[q^(2*k) - 1, {k, 1, n}]; Table[B[q, 3], {q, Select[Range[20], PrimePowerQ]}] (* Amiram Eldar, Jun 24 2025 *)

Formula

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

Extensions

More terms from Robin Visser, Aug 07 2023

A003937 Order of universal Chevalley group B_8(q), q = prime power.

Original entry on oeis.org

59980383884075203672726385914533642240000, 67806677896800158816511248022114282163091244291914415200010240000, 7084630453281025440882493116981310890142026281589018852388680249504694272000000000
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

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

Crossrefs

Cf. A000961, A003920, A003931, A003932, A003933, A003934, A003935, A003936.

Programs

  • Mathematica
    B[q_, n_] := q^(n^2) * Product[q^(2*k) - 1, {k, 1, n}]; Table[B[q, 8], {q, Select[Range[10], PrimePowerQ]}] (* Amiram Eldar, Jun 24 2025 *)

Formula

a(n) = B(A000961(n + 1), 8) where B(q,n) is defined in A003920. - Sean A. Irvine, Sep 22 2015

Extensions

a(3) from Sean A. Irvine, Sep 22 2015

A003934 Order of universal Chevalley group B_5(q), q = prime power.

Original entry on oeis.org

24815256521932800, 152915585868239728626892800, 1211875293642881119668928512000000, 266009466302345390625000000000000000000, 29597339316082819652234687848790174733434880000, 46025883638628966977843321053405598530493271244800
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

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

Crossrefs

Cf. A000961, A003920, A003931, A003932, A003933, A003935, A003936, A003937.

Programs

  • Mathematica
    B[q_, n_] := q^(n^2) * Product[q^(2*k) - 1, {k, 1, n}]; Table[B[q, 5], {q, Select[Range[10], PrimePowerQ]}] (* Amiram Eldar, Jun 24 2025 *)

Formula

a(n) = B(A000961(n + 1), 5) where B(q,n) is defined in A003920. - Sean A. Irvine, Sep 22 2015

Extensions

a(5)-a(6) from Sean A. Irvine, Sep 22 2015

A003935 Order of universal Chevalley group B_6(q), q = prime power.

Original entry on oeis.org

208114637736580743168000, 14395932257291877030764312963579904000, 85278137430613949474674174708223909560320000000, 3171079936179764469273010253906250000000000000000000000
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

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

Crossrefs

Cf. A000961, A003920, A003931, A003932, A003933, A003934, A003936, A003937.

Programs

  • Mathematica
    B[q_, n_] := q^(n^2) * Product[q^(2*k) - 1, {k, 1, n}]; Table[B[q, 6], {q, Select[Range[10], PrimePowerQ]}] (* Amiram Eldar, Jun 24 2025 *)

Formula

a(n) = B(A000961(n + 1), 6) where B(q,n) is defined in A003920. - Sean A. Irvine, Sep 22 2015

A003936 Order of universal Chevalley group B_7(q), q = prime power.

Original entry on oeis.org

27930968965434591767112450048000, 109777561863482259035023554842176139436811616256000, 1536234346098532793158147848149455029037710018156586598400000000, 23626386639924457166562360847447514533996582031250000000000000000000000000
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

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

Crossrefs

Cf. A000961, A003920, A003931, A003932, A003933, A003934, A003935, A003937.

Programs

  • Mathematica
    B[q_, n_] := q^(n^2) * Product[q^(2*k) - 1, {k, 1, n}]; Table[B[q, 7], {q, Select[Range[10], PrimePowerQ]}] (* Amiram Eldar, Jun 24 2025 *)

Formula

a(n) = B(A000961(n + 1), 7) where B(q,n) is defined in A003920. - Sean A. Irvine, Sep 22 2015

Extensions

a(3)-a(4) from Sean A. Irvine, Sep 22 2015
Showing 1-6 of 6 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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