A340515 a(n) = minimal order of a group in which all groups of order <= n can be embedded.

1, 2, 6, 24, 120, 120, 840, 3360, 30240, 30240, 332640, 665280, 8648640, 8648640, 8648640

Offset

1,2

References

Heffernan, Robert, Des MacHale, and Brendan McCann. "Cayley's Theorem Revisited: Embeddings of Small Finite Groups." Mathematics Magazine 91.2 (2018): 103-111.

Links

Table of n, a(n) for n=1..15.

Heffernan, Robert, Des MacHale, and Brendan McCann, Minimal embeddings of small finite groups, arXiv:1706.09286 [math.GR], Jun 28 2017.

Crossrefs

Cf. A000001, A340514.

A340516 is a lower bound.

Sequence in context: A362698 A066616 A340516 * A308819 A319206 A190393

Adjacent sequences: A340512 A340513 A340514 * A340516 A340517 A340518

Keyword

nonn,more

Author

N. J. A. Sloane, Feb 02 2021

Status

approved