WORDS AND PRONILPOTENT SUBGROUPS IN PROFINITE GROUPS

DOI10.1017/S1446788714000317zbMath1310.20030arXiv1312.2152OpenAlexW2963787216MaRDI QIDQ2934252

P. V. Shumyatskij, Eugenii I. Khukhro

Publication date: 12 December 2014

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.2152

zbMATH Keywords

locally finite groupscommutatorsprofinite groupsmultilinear commutator wordsverbal subgrouppronilpotent subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Commutator calculus (20F12) Limits, profinite groups (20E18)

Related Items (16)

Length-type parameters of finite groups with almost unipotent automorphisms ⋮ Unnamed Item ⋮ Engel-type subgroups and length parameters of finite groups ⋮ On the length of finite factorized groups. ⋮ Strong conciseness of Engel words in profinite groups ⋮ Nonsoluble length of finite groups with commutators of small order ⋮ Compact groups with high commuting probability of monothetic subgroups ⋮ RIGHT ENGEL-TYPE SUBGROUPS AND LENGTH PARAMETERS OF FINITE GROUPS ⋮ On finite soluble groups with almost fixed-point-free automorphisms of noncoprime order. ⋮ Profinite groups with restricted centralizers of commutators ⋮ Compact groups in which all elements have countable right Engel sinks ⋮ Nonsoluble length of finite groups with restrictions on Sylow subgroups ⋮ A reduction theorem for nonsolvable finite groups ⋮ Nonsoluble length of finite groups. ⋮ On the length of finite groups and of fixed points ⋮ Compact groups with countable Engel sinks

Cites Work

• Unnamed Item
• Compact torsion groups and finite exponent
• The 2-length and 2-period of a finite solvable group
• On periodic compact groups
• On the structure of compact torsion groups
• On profinite groups in which commutators are covered by finitely many subgroups.
• The 2-length of a finite solvable group
• On profinite groups in which commutators are Engel
• ON THE EXPONENT OF A VERBAL SUBGROUP IN A FINITE GROUP
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• 2-Length and the Derived Length of a Sylow 2-Subgroup
• Verbal subgroups in residually finite groups
• Varieties and simple groups
• A Note on 2-Soluble Groups
• Automorphisms of solvable groups

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