Covering certain Wreath Products with Proper Subgroups

Martino Garonzi; Attila Maroti

Covering certain Wreath Products with Proper Subgroups

Group Theory 2012-11-26 v1

Authors: Martino Garonzi , Attila Maroti

Abstract

For a non-cyclic finite group $X$ let $\sigma(X)$ be the least number of proper subgroups of $X$ whose union is $X$ . Precise formulas or estimates are given for $\sigma(S \wr C_{m})$ for certain nonabelian finite simple groups $S$ where $C_m$ is a cyclic group of order $m$ .

Keywords

wreath product of groups finite group theory group theory

Cite

@article{arxiv.1211.5342,
  title  = {Covering certain Wreath Products with Proper Subgroups},
  author = {Martino Garonzi and Attila Maroti},
  journal= {arXiv preprint arXiv:1211.5342},
  year   = {2012}
}

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