Finite Groups With Maximal Normalizers I

Joseph Bohanon

Finite Groups With Maximal Normalizers I

Group Theory 2009-06-02 v2

Authors: Joseph Bohanon

Abstract

We examine $p$ -groups with the property that every non-normal subgroup has a normalizer which is a maximal subgroup. In particular we show that for such a $p$ -group $G$ , when $p=2$ , the center of $G$ has index at most 16 and when $p$ is odd the center of $G$ has index at most $p^3$ .

Keywords

finite groups finite group theory

Cite

@article{arxiv.0905.3790,
  title  = {Finite Groups With Maximal Normalizers I},
  author = {Joseph Bohanon},
  journal= {arXiv preprint arXiv:0905.3790},
  year   = {2009}
}

Comments

16 pages. An example is included and some more exposition. No major corrections were made

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