show · group.pgroup all knowls · up · search:

A $p$-group is a group whose order is a power of a prime $p$. A result of Higman and Sims shows that the number of groups of order $p^k$ is $p^{(2/27 + o(1))k^3}$, and this can be combined with a result of Pyber to show that, asymptotically, 100% of groups are $p$-groups.

Knowl status:
  • Review status: reviewed
  • Last edited by David Roe on 2021-09-28 02:00:39
Referred to by:
History: (expand/hide all) Differences (show/hide)