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Displaying 41 – 60 of 199

Infinite locally soluble $k$ -Engel groups

Lucia Serena Spiezia (1992)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In this paper we deal with the class $E_{k}^{*}$ of groups $G$ for which whenever we choose two infinite subsets $X$ , $Y$ there exist two elements $x \in X$ , $y \in Y$ such that $[x, \underset{k}{\underset{︸}{y, \dots, y}}] = 1$ . We prove that an infinite finitely generated soluble group in the class $E_{k}^{*}$ is in the class $E_{k}$ of $k$ -Engel groups. Furthermore, with $k = 2$ , we show that if $G \in E_{2}^{*}$ is infinite locally soluble or hyperabelian group then $G \in E_{2}$ .

Infinite Soluble Groups with Engel Cycles; a Finiteness Condition.

Rolf Brandl (1983)

Mathematische Zeitschrift

Infinitely Generated Subgroups of Finitely Presented Groups.I.

Gilbert Baumslag, Frank B. Cannonito (1977)

Mathematische Zeitschrift

Isomorfismi reticolari e prodotti intrecciati

Federico Menegazzo (1973)

Rendiconti del Seminario Matematico della Università di Padova

$k$ -auflösbare Gruppen

Siegmar Stöppler (1970)

Rendiconti del Seminario Matematico della Università di Padova

Locally soluble cofinitary groups with few fixed points.

B.A.F. Wehrfritz (1997)

Forum mathematicum

Locally soluble groups with all nontrivial normal subgroups isomorphic.

John C. Lennox, Howard Smith, James Wiegold (1994)

Publicacions Matemàtiques

Let G be an infinite, locally soluble group which is isomorphic to all its nontrivial normal subgroups. If G/G' has finite p-rank for p = 0 and for all primes p, then G is cyclic.

Lokale Subnormalteiler und ihr nilpotentes Residuum.

Hermann Heineken, Peter Schwittek (1982)

Mathematische Zeitschrift

$M_{p}$ -группы.

В.П. Шунков (1984)

Algebra i Logika

$M_{p}$ -группы с регулярной ручкой

В.П. Шунков (1987)

Algebra i Logika

$M_{p}$ -группы с ядром произвольного ранга

В.П. Шунков (1987)

Algebra i Logika

Modular permutations on $ℤ$

Francesco Del Castillo (2007)

Rendiconti del Seminario Matematico della Università di Padova

Nilpotent Elements in Group Rings.

Sudarshan K. Sehgal (1975)

Manuscripta mathematica

Non-nilpotent subgroups of locally graded groups

Mohammad Zarrin (2015)

Colloquium Mathematicae

We show that a locally graded group with a finite number m of non-(nilpotent of class at most n) subgroups is (soluble of class at most [log₂n] + m + 3)-by-(finite of order ≤ m!). We also show that the derived length of a soluble group with a finite number m of non-(nilpotent of class at most n) subgroups is at most [log₂ n] + m + 1.

Currently displaying 41 – 60 of 199

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Displaying 41 – 60 of 199

Infinite locally soluble $k$ -Engel groups

Infinite Soluble Groups with Engel Cycles; a Finiteness Condition.

Infinitely Generated Subgroups of Finitely Presented Groups.I.

Isomorfismi reticolari e prodotti intrecciati

$k$ -auflösbare Gruppen

Locally soluble cofinitary groups with few fixed points.

Locally soluble groups with all nontrivial normal subgroups isomorphic.

Lokale Subnormalteiler und ihr nilpotentes Residuum.

$M_{p}$ -группы.

$M_{p}$ -группы с регулярной ручкой

$M_{p}$ -группы с ядром произвольного ранга

Modular permutations on $ℤ$

Nilpotent Elements in Group Rings.

Non-nilpotent subgroups of locally graded groups

Numerical invariants of exponential groups and locally free approximation of the braid group.

On a class of groups with strongly embedded subgroup.

On a generalization of the Baer-Suzuki theorem.

On absolutely simple locally finite groups

On certain characterizations of barely transitive groups

On cohomological periodicity for infinite groups.

Currently displaying 41 – 60 of 199