The upper central series of the maximal normal subgroup of a group of automorphisms

Maria Alicia Aviño; Phill Schultz; Marcos Zyman

doi:10.1515/jgth-2020-0106

The upper central series of the maximal normal subgroup of a group of automorphisms

Maria Alicia Aviño, Phill Schultz, Marcos Zyman

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

Let be a bounded abelian group, with automorphism group Aut⁡ (G)\operatorname{Aut}(G). Whenever satisfies certain conditions, we determine the upper central series and nilpotency class of the maximal normal subgroup of Aut⁡ (G)\operatorname{Aut}(G).

Original language	English
Pages (from-to)	1213-1244
Number of pages	32
Journal	Journal of Group Theory
Volume	24
Issue number	6
Early online date	6 Mar 2021
DOIs	https://doi.org/10.1515/jgth-2020-0106
Publication status	Published - 1 Nov 2021

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title = "The upper central series of the maximal normal subgroup of a group of automorphisms",

abstract = "Let be a bounded abelian group, with automorphism group Aut⁡ (G)\operatorname{Aut}(G). Whenever satisfies certain conditions, we determine the upper central series and nilpotency class of the maximal normal subgroup of Aut⁡ (G)\operatorname{Aut}(G). ",

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AU - Zyman, Marcos

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JO - Journal of Group Theory

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The upper central series of the maximal normal subgroup of a group of automorphisms

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