A368480 Orders k such that there exists a group of order k with automorphism group of odd order.

1, 2, 2187

Offset

1,2

Links

Table of n, a(n) for n=1..3.

Peter Hegarty and Desmond MacHale, Minimal Odd Order Automorphism Groups, Journal of Group Theory, 13 (2009), 243-255; arXiv:0905.0993 [math.GR], 2009.

Example

a(1)=1 since the trivial group has automorphism group of order 1. a(2)=2 since C_2 has automorphism group of order 1.

Crossrefs

Cf. A340521, A365179.

Sequence in context: A004813 A342294 A089981 * A365179 A028487 A073476

Adjacent sequences: A368477 A368478 A368479 * A368481 A368482 A368483

Keyword

nonn,bref,more,hard

Author

Robin Jones, Dec 26 2023

Status

approved