On the relationships between the factors of the upper and lower central series in some non-periodic groups
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Publication:5124036
DOI10.22108/ijgt.2017.21674zbMath1446.20055OpenAlexW2603300573MaRDI QIDQ5124036
Martyn R. Dixon, Igor Ya. Subbotin, Leonid A. Kurdachenko
Publication date: 17 September 2020
Full work available at URL: https://doaj.org/article/ed9ac74884f04fdcb4ea71ff27560363
General structure theorems for groups (20E34) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Derived series, central series, and generalizations for groups (20F14)
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Cites Work
- The rank of the factor-group modulo the hypercenter and the rank of the some hypocenter of a group.
- Groups with Chernikov factor-group by hypercentral.
- Extension of a Schur theorem to groups with a central factor with a bounded section rank.
- On some ranks of infinite groups.
- On groups whose factor-group modulo the hypercentre has finite section \(p\)-rank.
- Artinian, almost abelian groups and their groups of automorphisms
- Radical groups of finite Abelian subgroup rank
- Endlichkeitskriterien für Kommutatorgruppen
- On some analogues of theorems of Schur and Baer
- On the upper central series of infinite groups
- A New Treatment of Soluble Groups with Finiteness conditions on their Abelian Subgroups
- The ranks of central factor and commutator groups
- On some properties of the central and generalized central series of groups
- Groups with Finite Classes of Conjugate Elements (In Memoriam Issai Schur)
- Representations of groups as quotient groups. II. Minimal central chains of a group
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