Cyclic factorization numbers of finite groups

2017/02/05 by Tărnăuceanu, Marius, Lazorec, Mihai-Silviu
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1702.01433

Abstract

In this paper we introduce and study the concept of cyclic factorization number of a finite group G. By using the Mobius inversion formula and other methods involving the cyclic subgroup structure, this is explicitly computed for some important classes of finite groups.

Related

• On the factorization numbers of some finite p-groups
• Factorization numbers of finite rank 3 abelian p-groups
• On the number of exact factorization of finite Groups
• Finite groups with specific number of cyclic subgroups
• Finite groups with a certain number of cyclic subgroups II