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scientific article; zbMATH DE number 7325016

Language	Label	Description	Also known as
English	No label defined	scientific article; zbMATH DE number 7325016

Statements

scholarly article

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publication date

18 March 2021

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full work available at URL

http://mathnet.ru/eng/jsfu338

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zbMATH Keywords

Fitting height

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\(p\)-length

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soluble finite group

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nilpotent group

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profinite group

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automorphism

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restricted Burnside problem

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coset identity

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Eugenii I. Khukhro

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MaRDI profile type

MaRDI publication profile

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Centralizers of finite nilpotent subgroups in locally finite groups

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Nilpotent fixed point free automorphism groups of solvable groups

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2-Length and the Derived Length of a Sylow 2-Subgroup

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On groups of even order

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A NOTE ON NILPOTENT-BY-ERNIKOV GROUPS

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The 2-length and 2-period of a finite solvable group

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Connection between the 2-length and the derived length of a Sylow 2-subgroup of a finite solvable group

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Representations induced in an invariant subgroup

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On a Fitting length conjecture without the coprimeness condition.

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Fixed point free action on groups of odd order.

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Carter subgroups and Fitting heights of finite solvable groups

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Characterizations of the solvable radical

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On orders of finite groups and centralizers of \(p\)-elements

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On loops of odd order. II

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Nilpotence of finite Moufang 2-loops

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The weak Burnside problem for Moufang loops of prime period

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The 2-length of a finite solvable group

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Solvable Groups Admitting a Fixed-Point-Free Automorphism of Prime Power Order

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On the <i>p</i> -Length of <i>p</i> -Soluble Groups and Reduction Theorems for Burnside's Problem

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A general Brauer-Fowler theorem and centralizers in locally finite groups

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On characters and fixed points of coprime operator groups

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Finite soluble groups containing an element of prime order whose centralizer is small

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Finite soluble groups admitting an automorphism of prime power order with few fixed points

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Groups and Rings Having Automorphisms without Non-Trivial Fixed Elements

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A Note on 2-Soluble Groups

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Nilpotent height of finite groups admitting fixed-point-free automorphisms

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Finite \(p\)-groups admitting an automorphism of order \(p\) with a small number of fixed points

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LIE RINGS AND LIE GROUPS ADMITTING AN ALMOST REGULAR AUTOMORPHISM OF PRIME ORDER

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Groups with an automorphism of prime order that is almost regular in the sense of rank

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Automorphism invariance and identities

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Large characteristic subgroups satisfying multilinear commutator identities

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CHARACTERISTIC NILPOTENT SUBGROUPS OF BOUNDED CO-RANK AND AUTOMORPHICALLY INVARIANT NILPOTENT IDEALS OF BOUNDED CODIMENSION IN LIE ALGEBRAS

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Finite groups with an automorphism of prime order whose centralizer has small rank.

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WORDS AND PRONILPOTENT SUBGROUPS IN PROFINITE GROUPS

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A short proof of the Khukhro-Makarenko theorem on large characteristic subgroups with laws

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Large and symmetric: the Khukhro-Makarenko theorem on laws -- without laws.

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The Burnside problem

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Groups with regular automorphisms of order four

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The classification of finite simple Moufang loops

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Errata: A connection between the Baker-Hausdorff formula and a problem of Burnside

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Finite \(2\)-groups admitting an automorphism of order \(4\) with few fixed points

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Almost solubility of Lie algebras with almost regular automorphisms

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Finite groups with an almost regular automorphism of order four

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Characteristic subgroups in locally finite groups.

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Endliche Gruppen mit einzelnen auflösbaren Untergruppen der Länge 2

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On finitely generated profinite groups. I: Strong completeness and uniform bounds. II: Products in quasisimple groups.

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Automorphisms and Fitting factors of finite groups

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Finite groups admitting a fixed-point-free automorphism group

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Closed Subgroups of Profinite Groups

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On groups admitting fixed point free abelian operator groups

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On groups with commutators of bounded order

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Multilinear commutators in residually finite groups.

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On periodic groups with an almost regular involution

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FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER

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Normal \(p\)-complements for finite groups

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Automorphisms of solvable groups

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Fitting height of groups and of fixed points

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On the structure of compact torsion groups

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ON SOME PROBLEMS OF GROUP THEORY AND LIE ALGEBRAS

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SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT

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A SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR 2-GROUPS

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On periodic compact groups

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

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