Finite Groups With Maximal Normalizers I

Details Finite Groups With Maximal Normalizers I Finite Groups With Maximal Normalizers I

2009-05-23

arxiv.org/abs/0905.3790v2

Mathematics

Group Theory

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

Scientific paper

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 $p^3$.

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