ON CERTAIN APPLICATIONS OF THE KHUKHRO–MAKARENKO THEOREM

DOI10.1017/S0017089512000493zbMath1282.20031MaRDI QIDQ4916838

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Publication date: 26 April 2013

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

subgroups of finite indexcommutator identitiesChernikov groupsverbal subgroupcharacteristic subgroupsouter commutator wordsbarely transitive groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) General structure theorems for groups (20E34) Generalizations of solvable and nilpotent groups (20F19) General theory for infinite permutation groups (20B07) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Quasivarieties and varieties of groups (20E10) Commutator calculus (20F12)

Related Items (2)

Large and symmetric: the Khukhro-Makarenko theorem on laws -- without laws. ⋮ Zaitsev-type results.

Cites Work

• Unnamed Item
• Automorphically-invariant ideals satisfying multilinear identities, and group-theoretic applications
• A characterization of some locally finite simple groups of Lie type
• On the normalizer condition and barely transitive permutation groups
• Locally (soluble-by-finite) groups with all proper non-nilpotent subgroups of finite rank
• Groups with all proper subgroups nilpotent-by-finite rank
• Groups with all proper subgroups soluble-by-finite rank.
• A short proof of the Khukhro-Makarenko theorem on large characteristic subgroups with laws
• Automorphism invariance and identities
• PERIODIC LOCALLY SOLUBLE GROUPS CONTAINING AN ELEMENT OF PRIME ORDER WITH ČERNIKOV CENTRALIZER
• On barely transitive p-groups with soluble point stabilizer
• A NOTE ON NILPOTENT-BY-ERNIKOV GROUPS
• Large characteristic subgroups satisfying multilinear commutator identities

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