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Partition numbers of finite solvable groups
Journal article

Partition numbers of finite solvable groups

T. Foguel and N. Sizemore
Advances in group theory and applications an open access journal, Vol.6, pp.55-67
2018
DOI: https://doi.org/10.32037/agta-2018-004

Abstract

Covering spaces (Topology) Vector spaces Partition Solvable groups
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.
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