A065558 Let G_n be the group of invertible 2 X 2 matrices mod n (sequence A000252). a(n) is the maximal degree of an irreducible representation of G_n.

1, 2, 4, 6, 6, 8, 8, 12, 12, 12, 12, 24, 14, 16, 24, 24, 18, 24, 20, 36, 32, 24, 24, 48

Offset

1,2

Comments

a(n) is multiplicative and for an odd prime p : a(p) = p + 1 . The number of irreducible representations of G_n is in sequence A062354.

Conjecture: a(2n) = 2*A001615(n). - Ralf Stephan, Mar 26 2004

Links

Table of n, a(n) for n=1..24.

Crossrefs

A000252, A062354

Sequence in context: A090346 A267460 A092989 * A235384 A342597 A035280

Adjacent sequences: A065555 A065556 A065557 * A065559 A065560 A065561

Keyword

nonn

Author

Dan Fux (dan.fux(AT)OpenGaia.com or danfux(AT)OpenGaia.com), Nov 29 2001

Status

approved