TeX -Groups with few conjugacy classes of normalizers
Autor(a) principal: | |
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Data de Publicação: | 2013 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFBA |
Texto Completo: | http://repositorio.ufba.br/ri/handle/ri/14817 |
Resumo: | Texto completo: acesso restrito. p. 151-159 |
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Brandl, RolfSica, CarmelaTota, MariaBrandl, RolfSica, CarmelaTota, Maria2014-04-10T12:01:28Z20130026-9255http://repositorio.ufba.br/ri/handle/ri/14817v. 172, n. 2Texto completo: acesso restrito. p. 151-159For 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 .Submitted by Suelen Reis (suziy.ellen@gmail.com) on 2014-04-10T12:01:28Z No. of bitstreams: 1 art%3A10.1007%2Fs00605-012-0473-y.pdf: 167487 bytes, checksum: bc59c663280caf9bc13065e04a02ca8b (MD5)Made available in DSpace on 2014-04-10T12:01:28Z (GMT). No. of bitstreams: 1 art%3A10.1007%2Fs00605-012-0473-y.pdf: 167487 bytes, checksum: bc59c663280caf9bc13065e04a02ca8b (MD5) Previous issue date: 2013http://dx.doi.org/10.1007/s00605-012-0473-yreponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAConjugacy classesNormalizersFinite p-groupsp-Groups of maximal classTeX -Groups with few conjugacy classes of normalizersMonatshefte fur Mathematikinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01info:eu-repo/semantics/openAccessengORIGINALart%3A10.1007%2Fs00605-012-0473-y.pdfart%3A10.1007%2Fs00605-012-0473-y.pdfapplication/pdf167487https://repositorio.ufba.br/bitstream/ri/14817/1/art%253A10.1007%252Fs00605-012-0473-y.pdfbc59c663280caf9bc13065e04a02ca8bMD51LICENSElicense.txtlicense.txttext/plain1345https://repositorio.ufba.br/bitstream/ri/14817/2/license.txt0d4b811ef71182510d2015daa7c8a900MD52TEXTart%3A10.1007%2Fs00605-012-0473-y.pdf.txtart%3A10.1007%2Fs00605-012-0473-y.pdf.txtExtracted texttext/plain19830https://repositorio.ufba.br/bitstream/ri/14817/3/art%253A10.1007%252Fs00605-012-0473-y.pdf.txt4a78d29a2cd2333094b6fe49f46dc6c2MD53ri/148172022-07-05 14:03:14.565oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:14Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false |
dc.title.pt_BR.fl_str_mv |
TeX -Groups with few conjugacy classes of normalizers |
dc.title.alternative.pt_BR.fl_str_mv |
Monatshefte fur Mathematik |
title |
TeX -Groups with few conjugacy classes of normalizers |
spellingShingle |
TeX -Groups with few conjugacy classes of normalizers Brandl, Rolf Conjugacy classes Normalizers Finite p-groups p-Groups of maximal class |
title_short |
TeX -Groups with few conjugacy classes of normalizers |
title_full |
TeX -Groups with few conjugacy classes of normalizers |
title_fullStr |
TeX -Groups with few conjugacy classes of normalizers |
title_full_unstemmed |
TeX -Groups with few conjugacy classes of normalizers |
title_sort |
TeX -Groups with few conjugacy classes of normalizers |
author |
Brandl, Rolf |
author_facet |
Brandl, Rolf Sica, Carmela Tota, Maria |
author_role |
author |
author2 |
Sica, Carmela Tota, Maria |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Brandl, Rolf Sica, Carmela Tota, Maria Brandl, Rolf Sica, Carmela Tota, Maria |
dc.subject.por.fl_str_mv |
Conjugacy classes Normalizers Finite p-groups p-Groups of maximal class |
topic |
Conjugacy classes Normalizers Finite p-groups p-Groups of maximal class |
description |
Texto completo: acesso restrito. p. 151-159 |
publishDate |
2013 |
dc.date.issued.fl_str_mv |
2013 |
dc.date.accessioned.fl_str_mv |
2014-04-10T12:01:28Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://repositorio.ufba.br/ri/handle/ri/14817 |
dc.identifier.issn.none.fl_str_mv |
0026-9255 |
dc.identifier.number.pt_BR.fl_str_mv |
v. 172, n. 2 |
identifier_str_mv |
0026-9255 v. 172, n. 2 |
url |
http://repositorio.ufba.br/ri/handle/ri/14817 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
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openAccess |
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http://dx.doi.org/10.1007/s00605-012-0473-y |
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