English

On the factorization numbers of some finite $p$-groups

Group Theory 2015-02-18 v1

Abstract

This note deals with the computation of the factorization number F2(G)F_2(G) of a finite group GG. By using the M\"{o}bius inversion formula, explicit expressions of F2(G)F_2(G) are obtained for two classes of finite abelian groups, improving the results of {\it Factorization numbers of some finite groups}, Glasgow Math. J. (2012).

Keywords

Cite

@article{arxiv.1502.04778,
  title  = {On the factorization numbers of some finite $p$-groups},
  author = {Marius Tarnauceanu},
  journal= {arXiv preprint arXiv:1502.04778},
  year   = {2015}
}

Comments

accepted for publication in Ars Combin

R2 v1 2026-06-22T08:31:06.857Z