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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
1, 2, 4, 6, 6, 8, 8, 12, 12, 12, 12, 24, 14, 16, 24, 24, 18, 24, 20, 36, 32, 24, 24, 48 (list; graph; refs; listen; history; text; internal format)
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

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Last modified February 5 23:07 EST 2023. Contains 360091 sequences. (Running on oeis4.)