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https://repositorio.ufba.br/handle/ri/14817
metadata.dc.type: | Artigo de Periódico |
Title: | TeX -Groups with few conjugacy classes of normalizers |
Other Titles: | Monatshefte fur Mathematik |
Authors: | Brandl, Rolf Sica, Carmela Tota, Maria |
metadata.dc.creator: | Brandl, Rolf Sica, Carmela Tota, Maria |
Abstract: | For a group G , denote by ω(G) the number of conjugacy classes of normalizers of subgroups of G . Clearly, ω(G)=1 if and only if G is a Dedekind group. Hence if G is a 2-group, then G is nilpotent of class ≤2 and if G is a p -group, p>2 , then G is abelian. We prove a generalization of this. Let G be a finite p -group with ω(G)≤p+1 . If p=2 , then G is of class ≤3 ; if p>2 , then G is of class ≤2 . |
Keywords: | Conjugacy classes Normalizers Finite p-groups p-Groups of maximal class |
metadata.dc.rights: | Acesso Aberto |
URI: | http://repositorio.ufba.br/ri/handle/ri/14817 |
Issue Date: | 2013 |
Appears in Collections: | Artigo Publicado em Periódico (IME) |
Files in This Item:
File | Description | Size | Format | |
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art%3A10.1007%2Fs00605-012-0473-y.pdf | 163,56 kB | Adobe PDF | View/Open |
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