Partition numbers of finite solvable groups
Tuval Foguel, Nick Sizemore · DOAJ (DOAJ: Directory of Open Access Journals) · 2018
A group partition is a group cover in which the elements have trivial pairwise intersection. Here we define the partition number of a group - the minimal number of subgroups necessary to form a partition - and examine some of its properties, including its relation to the covering number for solvable groups.