EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1

Displaying 1 – 14 of 14

A class of generalized supersoluble groups.

Adolfo Ballester-Bolinches, Tatiana Pedraza (2005)

Publicacions Matemàtiques

A geometric invariant for modules over an Abelian group.

Robert Bieri, Ralph Strebel (1981)

Journal für die reine und angewandte Mathematik

A nilpotency condition for finitely generated soluble groups

Costantino Delizia (1998)

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

We prove that if $k > 1$ is an integer and $G$ is a finitely generated soluble group such that every infinite set of elements of $G$ contains a pair which generates a nilpotent subgroup of class at most $k$ , then $G$ is an extension of a finite group by a torsion-free $k$ -Engel group. As a corollary, there exists an integer $n$ , depending only on $k$ and the derived length of $G$ , such that $G / Z_{n} (G)$ is finite. For $k < 4$ , such $n$ depends only on $k$ .

A note on $I A$ -endomorphisms of two-generated metabelian groups

F. Catino, M. M. Miccoli (1996)

Rendiconti del Seminario Matematico della Università di Padova

A note on locally graded groups

Patrizia Longobardi, Mercede Maj, Howard Smith (1995)

Rendiconti del Seminario Matematico della Università di Padova

A note on supersoluble maximal subgroup and theta-pairs.

James C. Beidleman, Howard Smith (1993)

Publicacions Matemàtiques

A θ-pair for a maximal subgroup M of a group G is a pair (A, B) of subgroups such that B is a maximal G-invariant subgroup of A with B but not A contained in M. θ-pairs are considered here in some groups having supersoluble maximal subgroups.

A splitting theorem for linear polycyclic groups.

Abels, Herbert, Alperin, Roger C. (2009)

The New York Journal of Mathematics [electronic only]

Abelian subgroups of polycyclic groups.

John S. Wilson (1982)

Journal für die reine und angewandte Mathematik

Almost fixed-point-free automorphisms of prime order

Bertram Wehrfritz (2011)

Open Mathematics

Let ϕ be an automorphism of prime order p of the group G with C G(ϕ) finite of order n. We prove the following. If G is soluble of finite rank, then G has a nilpotent characteristic subgroup of finite index and class bounded in terms of p only. If G is a group with finite Hirsch number h, then G has a soluble characteristic subgroup of finite index in G with derived length bounded in terms of p and n only and a soluble characteristic subgroup of finite index in G whose index and derived length are...

Arithmetic of stabilizers of ideals in group rings.

D.R. Farkas, R.L. Snider (1984)

Inventiones mathematicae

Asymptotic dimension of discrete groups

A. Dranishnikov, J. Smith (2006)

Fundamenta Mathematicae

We extend Gromov's notion of asymptotic dimension of finitely generated groups to all discrete groups. In particular, we extend the Hurewicz type theorem proven in [B-D2] to general groups. Then we use this extension to prove a formula for the asymptotic dimension of finitely generated solvable groups in terms of their Hirsch length.

Currently displaying 1 – 14 of 14