Partition numbers of finite 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...

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Bibliographic Details
Main Authors: Tuval Foguel, Nick Sizemore
Format: Article
Language:English
Published: Aracne 2018-12-01
Series:Advances in Group Theory and Applications
Subjects:
Online Access:http://www.advgrouptheory.com/journal/Volumes/6/Foguel,%20Sizemore%20-%20Partition%20numbers%20of%20finite%20solvable%20groups.pdf