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 1-2 of 2 results.

A124678 Number of conjugacy classes in PSL_2(p), p = prime(n).

Original entry on oeis.org

3, 4, 5, 6, 8, 9, 11, 12, 14, 17, 18, 21, 23, 24, 26, 29, 32, 33, 36, 38, 39, 42, 44, 47, 51, 53, 54, 56, 57, 59, 66, 68, 71, 72, 77, 78, 81, 84, 86, 89, 92, 93, 98, 99, 101, 102, 108, 114, 116, 117, 119, 122, 123, 128, 131, 134, 137, 138, 141, 143, 144, 149, 156, 158
Offset: 1

Views

Author

N. J. A. Sloane, Dec 25 2006

Keywords

Comments

A great deal is known about the number of conjugacy classes in the classical linear groups. See for example Dornhoff, Section 38, or Green.

References

  • Dornhoff, Larry, Group representation theory. Part A: Ordinary representation theory. Marcel Dekker, Inc., New York, 1971.

Crossrefs

Programs

  • Magma
    [ NumberOfClasses(PSL(2,p)) : p in [2,3,5,7,11,13,17,19,23,29,31,37] ];

Formula

a(n) = (prime(n) + 5)/2 for all n > 1. - Robin Visser, Sep 24 2023

Extensions

More terms from Klaus Brockhaus, Dec 26 2006

A124681 a(n) = number of conjugacy classes in PSL_4(prime(n)).

Original entry on oeis.org

14, 29, 49, 217, 757, 613, 1327, 3661, 6409, 6349, 15457, 13057, 17707, 40789, 53137, 37993, 104581, 57757, 152797
Offset: 1

Views

Author

N. J. A. Sloane, Dec 25 2006

Keywords

Crossrefs

Programs

  • Magma
    A124681 := func< n | NumberOfClasses(PSL(4,NthPrime(n))) >;

Extensions

a(5) and a(6) from Klaus Brockhaus, Dec 26 2006 and Oct 09 2010
a(7)..a(14) appended, from running MAGMA for 32 processor hours at U. Newcastle, by Jason Kimberley, Feb 09 2011.
a(15)-a(19) from Robin Visser, Oct 01 2023
Showing 1-2 of 2 results.