Normally \(\zeta\)-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 \(\zeta\)-reversible. We conjecture that these groups are pronilpotent and we prove this conjec...

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Bibliographic Details
Date:2016
Main Authors: Cimetta, Leone, Lucchini, Andrea
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2016
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/137
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics