Partition numbers of finite solvable groups

Advances in Group Theory and Applications

Tuval Foguel¹  Nick Sizemore² 

[1] Adelphi University;University of Florida;

关键词: dihedral group;    covering of groups;    partition of groups;    partition of vector spaces;   

DOI  :  10.32037/AGTA-2018-004

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown