A003882 -id:A003882 - cp's OEIS frontend

A060247 Triangle whose rows are the degrees of the irreducible representations of the groups PSL(2,q) as q runs through the primes and prime powers.

1, 1, 2, 1, 1, 1, 3, 1, 3, 3, 4, 5, 1, 3, 3, 4, 5, 1, 3, 3, 6, 7, 8, 1, 7, 7, 7, 7, 8, 9, 9, 9, 1, 5, 5, 8, 8, 9, 10, 1, 5, 5, 10, 10, 11, 12, 12, 1, 7, 7, 12, 12, 12, 13, 14, 14, 1, 15, 15, 15, 15, 15, 15, 15, 15, 16, 17, 17, 17, 17, 17, 17, 17, 1, 9, 9, 16, 16, 16, 16, 17, 18, 18, 18

Offset: 1

N. J. A. Sloane, Mar 22 2001

			Triangle begins:
  1, 1, 2;
  1, 1, 1, 3;
  1, 3, 3, 4, 5;
  1, 3, 3, 4, 5;
  ...
(for q = 2,3,4,5, ...).

J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups, Oxford Univ. Press, 1985.

J. S. Kimberley, First 60 rows of A060247 triangle, flattened.

q = A000961(n+1).
Row length sequence is A177744.
Consecutive row sequences from 3rd to 18th are: A003860, A003860, A003879, A003880, A003861, A003882, A003883, A003884, A003885, A003886, A003887, A003888, A003889, A003890, A003891, A003892.
Cf. A060246, A060240, A060241.

Magma
```
CharacterTable(PSL(2,7)); // (say)
```

&cat[[Degree(irred): irred in CharacterTable(PSL(2,q))]: q in [2..17]| IsPrimePower(q)]; // Jason Kimberley, May 22 2010

Extended by Jason Kimberley, May 22 2010

A060246 Triangle whose rows are the degrees of the irreducible representations of the groups PSL(2,p) as p runs through the primes.

Original entry on oeis.org

1, 1, 2, 1, 1, 1, 3, 1, 3, 3, 4, 5, 1, 3, 3, 6, 7, 8, 1, 5, 5, 10, 10, 11, 12, 12, 1, 7, 7, 12, 12, 12, 13, 14, 14, 1, 9, 9, 16, 16, 16, 16, 17, 18, 18, 18, 1, 9, 9, 18, 18, 18, 18, 19, 20, 20, 20, 20, 1, 11, 11, 22, 22, 22, 22, 22, 23, 24, 24, 24, 24, 24, 1, 15, 15, 28, 28, 28, 28, 28

Offset: 1

N. J. A. Sloane, Mar 22 2001

			1,1,2; 1,1,1,3; 1,3,3,4,5; ... (for q=2,3,5,...).

J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups, Oxford Univ. Press, 1985.

J. S. Kimberley, First 123 rows of A060246 triangle, flattened.

Row length sequence is A124678.
Consecutive row sequences from 3rd to 11th are: A003860, A003879, A003882, A003883, A003885, A003886, A003887, A003890, A003891.
Cf. A060247, A060240, A060241.

Magma
```
CharacterTable(PSL(2,7)); (say)
```

&cat[[Degree(irred): irred in CharacterTable(PSL(2, p))]: p in PrimesUpTo(30)];

Extended by Jason Kimberley, May 23 2010

A211407 Degrees of irreducible representations of group L3(11).

Original entry on oeis.org

1, 132, 133, 133, 133, 133, 133, 133, 133, 133, 133, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200

Offset: 1

Eric M. Schmidt, Feb 11 2013

J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, and R. A. Wilson, ATLAS of Finite Groups, Oxford Univ. Press, 1985.

Eric M. Schmidt, Table of n, a(n) for n = 1..132 (complete sequence)

Cf. A003882 - A003901.

List(Irr(CharacterTable("L3(11)")), chi->chi[1]);

cp's OEIS Frontend

A060247 Triangle whose rows are the degrees of the irreducible representations of the groups PSL(2,q) as q runs through the primes and prime powers.

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A060246 Triangle whose rows are the degrees of the irreducible representations of the groups PSL(2,p) as p runs through the primes.

Views

Author

Keywords

Examples

References

Links

Crossrefs

Programs

Magma

Magma

Extensions

A211407 Degrees of irreducible representations of group L3(11).

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GAP