The rank of a finite group $G$ is the minimal number of elements required to generate it, which is often smaller than the number of generators in a polycyclic presentation. For $p$-groups, the rank can be computed by taking the $\mathbb{F}_p$-dimension of the quotient by the Frattini subgroup.
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- Last edited by David Roe on 2021-09-27 19:04:25
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- columns.gps_groups.eulerian_function
- columns.gps_groups.rank
- group.mobius_function
- lmfdb/groups/abstract/main.py (line 842)
- lmfdb/groups/abstract/main.py (line 1557)
- lmfdb/groups/abstract/stats.py (line 89)
- lmfdb/groups/abstract/stats.py (line 150)
- lmfdb/groups/abstract/templates/abstract-show-group.html (line 257)
- lmfdb/groups/abstract/templates/abstract-show-group.html (line 279)
- 2021-09-27 19:04:25 by David Roe (Reviewed)