The Theory of Nilpotent Groups

DOI10.1007/978-3-319-66213-8zbMath1402.20002OpenAlexW2765394294MaRDI QIDQ5349428

Stephen Majewicz, Marcos Zyman, Anthony E. Clement

Publication date: 24 August 2017

Full work available at URL: https://doi.org/10.1007/978-3-319-66213-8

zbMATH Keywords

nilpotent groupcenterLie algebracommutator calculusgroup ringMal'cev basisMagnus embeddingisolatornormalizer conditionresidual propertylower and upper central seriesFitting radicalradicable groupHall-Petresco collection processHirsch-Plotkin-radicalMal'cev correspondence.property \(\mathscr{P}\)

Mathematics Subject Classification ID

Nilpotent groups (20F18) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Finite nilpotent groups, (p)-groups (20D15) Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Related Items (11)

The extrinsic primitive torsion problem ⋮ Generating the inverse limit of free groups ⋮ Rings whose elements are sums of m-potents and nilpotents ⋮ Subsets of virtually nilpotent groups with the SBM property ⋮ A note on weakly nil-clean rings ⋮ Crystallographic Helly groups ⋮ Conjugacy growth in the higher Heisenberg groups ⋮ On the separability of subgroups of nilpotent groups by root classes of groups ⋮ Free polynilpotent groups and the Magnus property ⋮ The upper central series of the maximal normal \(p\)-subgroup of a group of automorphisms ⋮ Nilpotent primer hypermaps with hypervertices of valency a prime

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