Normally ζ-reversible profinite groups
We examine (finitely generated) profinite groups in which two formal Dirichlet series, the normal subgroup zeta function and the normal probabilistic zeta function, coincide; we call these groups normally ζ-reversible. We conjecture that these groups are pronilpotent and we prove this conjecture if...
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| Дата: | 2016 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2016
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/155198 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Normally ζ-reversible profinite groups / L. Cimetta, A. Lucchini // Algebra and Discrete Mathematics. — 2016. — Vol. 21, № 1. — С. 24-50. — Бібліогр.: 21 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-155198 |
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dspace |
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irk-123456789-1551982019-06-17T01:26:43Z Normally ζ-reversible profinite groups Cimetta, L. Lucchini, A. We examine (finitely generated) profinite groups in which two formal Dirichlet series, the normal subgroup zeta function and the normal probabilistic zeta function, coincide; we call these groups normally ζ-reversible. We conjecture that these groups are pronilpotent and we prove this conjecture if G is a normally ζ-reversible satisfying one of the following properties: G is prosoluble, G is perfect, all the nonabelian composition factors of G are alternating groups. 2016 Article Normally ζ-reversible profinite groups / L. Cimetta, A. Lucchini // Algebra and Discrete Mathematics. — 2016. — Vol. 21, № 1. — С. 24-50. — Бібліогр.: 21 назв. — англ. 1726-3255 2010 MSC:20E07. http://dspace.nbuv.gov.ua/handle/123456789/155198 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We examine (finitely generated) profinite groups in which two formal Dirichlet series, the normal subgroup zeta function and the normal probabilistic zeta function, coincide; we call these groups normally ζ-reversible. We conjecture that these groups are pronilpotent and we prove this conjecture if G is a normally ζ-reversible satisfying one of the following properties: G is prosoluble, G is perfect, all the nonabelian composition factors of G are alternating groups. |
| format |
Article |
| author |
Cimetta, L. Lucchini, A. |
| spellingShingle |
Cimetta, L. Lucchini, A. Normally ζ-reversible profinite groups Algebra and Discrete Mathematics |
| author_facet |
Cimetta, L. Lucchini, A. |
| author_sort |
Cimetta, L. |
| title |
Normally ζ-reversible profinite groups |
| title_short |
Normally ζ-reversible profinite groups |
| title_full |
Normally ζ-reversible profinite groups |
| title_fullStr |
Normally ζ-reversible profinite groups |
| title_full_unstemmed |
Normally ζ-reversible profinite groups |
| title_sort |
normally ζ-reversible profinite groups |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/155198 |
| citation_txt |
Normally ζ-reversible profinite groups / L. Cimetta, A. Lucchini // Algebra and Discrete Mathematics. — 2016. — Vol. 21, № 1. — С. 24-50. — Бібліогр.: 21 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT cimettal normallyzreversibleprofinitegroups AT lucchinia normallyzreversibleprofinitegroups |
| first_indexed |
2023-05-20T17:46:14Z |
| last_indexed |
2023-05-20T17:46:14Z |
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1796154052086595584 |