A062733 Maximal degree of an irreducible representation of the group SL(n,2) (the group of nonsingular n X n matrices over GF(2) ).

1, 2, 8, 70, 1240, 41664, 2731008

Offset: 1

Author

Ahmed Fares (ahmedfares(AT)my-deja.com), Jul 12 2001

Keywords

• nonn
• more

Examples

			a(2) = 2 because SL(2,2) is isomorphic to the symmetric group S_3 and the degrees are 1,1,2.
		

Crossrefs

Cf. A002884, A135950.

Formula

For n > 3, this appears to coincide with the absolute values of the column k=2 of A135950, which would imply a(n) = 2^((n-2)*(n-3)/2) * (2^n - 1) * (2^(n-1) - 1) / 3. - Andrei Zabolotskii, May 27 2025

Extensions

a(6)-a(7) from Vladeta Jovovic, May 27 2007