Normally ζ-reversible profinite groups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Normally ζ-reversible profinite groups
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| Creator |
Cimetta, L.
Lucchini, A. |
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| 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.
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| Date |
2019-06-16T10:48:18Z
2019-06-16T10:48:18Z 2016 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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