Infinite Groups 1994: Proceedings of the International Conference held in Ravello, Italy, May 23–27, 1994

Book

Infinite Groups 1994

Proceedings of the International Conference held in Ravello, Italy, May 23–27, 1994

Edited by: Francesco de Giovanni and Martin Newell

Language: English

Published/Copyright: 1996

Published by

Become an author with De Gruyter Brill

Explore this Subject How to publish with us

This book is in the series

De Gruyter Proceedings in Mathematics

Topics

Mathematics General Mathematics

Publicly Available

Frontmatter
I

Download PDF
Requires Authentication Unlicensed

Licensed

Preface
V

Download PDF
Publicly Available

Table of Contents
VII

Download PDF
Requires Authentication Unlicensed

Licensed

Photos
XI

Download PDF
Requires Authentication Unlicensed

Licensed

Some Results and Problems about Factorized Groups
1
Bernhard Amberg

Download PDF
Requires Authentication Unlicensed

Licensed

Normalizers of Subnormal Subgroups
23
James C. Beidleman, Martyn R. Dixon and Derek J. S. Robinson

Download PDF
Requires Authentication Unlicensed

Licensed

Isomorphisms between Homeomorphic Connected Compact-Like Abelian Groups
33
Dikran N. Dikranjan and Vladimir V. Uspenskij

Download PDF
Requires Authentication Unlicensed

Licensed

Applications of Abelian Groups and Model Theory to Algebraic Structures
41
Manfred Dugas and Rüdiger Göbel

Download PDF
Requires Authentication Unlicensed

Licensed

Groups Satisfying the Minimal Condition on Non-Subnormal Subgroups
63
Silvana Franciosi and Francesco de Giovanni

Download PDF
Requires Authentication Unlicensed

Licensed

Metabelian Groups with All Cyclic Subgroups Subnormal of Bounded Defect
73
David J. Garrison and Luise-Charlotte Kappe

Download PDF
Requires Authentication Unlicensed

Licensed

Locally Finite Groups Whose Sylow Subgroups Are Chernikov
87
Brian Hartley

Download PDF
Requires Authentication Unlicensed

Licensed

Groups Which Are Dual to Layer-Finite
103
Ν. V. Kalashnikova and L. A. Kurdachenko

Download PDF
Requires Authentication Unlicensed

Licensed

Soluble Products of Groups
111
Lev S. Kazarin

Download PDF
Requires Authentication Unlicensed

Licensed

Torsionfree Varieties of Metabelian Groups
125
L. G. Kovács and M. F. Newman

Download PDF
Requires Authentication Unlicensed

Licensed

Rings with Noetherian Groups of Units
129
Jan Krempa

Download PDF
Requires Authentication Unlicensed

Licensed

On Normal Closures of Elements in Generalized FC-Groups
141
Leonid A. Kurdachenko

Download PDF
Requires Authentication Unlicensed

Licensed

Centrality in Soluble Groups
153
John C. Lennox

Download PDF
Requires Authentication Unlicensed

Licensed

Finite p-Groups in Which Subgroups Have Large Cores
163
John C. Lennox, Howard Smith and James Wiegold

Download PDF
Requires Authentication Unlicensed

Licensed

Fixed Points Induced by the Permutation of Generators in a Free Group of Rank 2
171
Olga Macedoñska and Witold Tomaszewski

Download PDF
Requires Authentication Unlicensed

Licensed

Subgroup Growth: Some Current Developments
179
Avinoam Mann and Dan Segal

Download PDF
Requires Authentication Unlicensed

Licensed

Power Subgroups of Profinite Groups
199
Consuelo Martínez

Download PDF
Requires Authentication Unlicensed

Licensed

On the 4-Levi Centre and the 4-Bell Centre of a Group
205
Martin L. Newell

Download PDF
Requires Authentication Unlicensed

Licensed

Varieties of Representations of Groups, Quasivarieties and Pseudovarieties of Groups
215
Boris Plotkin

Download PDF
Requires Authentication Unlicensed

Licensed

Groups with a Minimality Condition
229
Vladimir I. Senashov

Download PDF
Requires Authentication Unlicensed

Licensed

On Groups with Chernikov Centralizer of a 2-Subgroup
235
Pavel Shumyatsky

Download PDF
Requires Authentication Unlicensed

Licensed

On Torsion-Free Groups with Trivial Center
241
Andrzej Strojnowski

Download PDF
Requires Authentication Unlicensed

Licensed

Groups with Pronormal Subgroups of Proper Normal Subgroups
247
Igor Ya. Subbotin

Download PDF
Requires Authentication Unlicensed

Licensed

Some Examples of Factorized Groups and Their Relation to Ring Theory
257
Yaroslav P. Sysak

Download PDF
Requires Authentication Unlicensed

Licensed

FC-Groups: Recent Progress
271
M. J. Tomkinson

Download PDF
Requires Authentication Unlicensed

Licensed

A Remark on Representations of Lattices by Subgroups
287
Jiří Tůma

Download PDF
Requires Authentication Unlicensed

Licensed

A Note on Commutator Laws in Groups
291
Arthur Weinberger

Download PDF
Requires Authentication Unlicensed

Licensed

Some Finiteness Conditions in Groups
295
James Wiegold

Download PDF
Requires Authentication Unlicensed

Licensed

First-Order Group Theory
301
John Wilson

Download PDF
Requires Authentication Unlicensed

Licensed

From Finite to Infinite Groups: a Historical Survey
315

Download PDF
Requires Authentication Unlicensed

Licensed

List of Participants
321

Download PDF
Requires Authentication Unlicensed

Licensed

List of Lectures
329

Download PDF
Requires Authentication Unlicensed

Licensed

List of Contributors
333

Download PDF

Publishing information

Pages and Images/Illustrations in book

eBook published on:

March 6, 2017

eBook ISBN:

9783110810387

Hardcover published on:

October 26, 1995

Hardcover ISBN:

9783110143324

Edition:

Reprint 2017

Pages and Images/Illustrations in book

Front matter:

9

Main content:

335

Other:

Zahlr. Abb.

https://doi.org/10.1515/9783110810387

eBook ISBN: 9783110810387

Hardcover ISBN: 9783110143324

Keywords for this book

Unendliche Gruppe

Safety & product resources

Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com

Infinite Groups 1994

Overview

Topics

Table of contents

Frontmatter

Preface

Table of Contents

Photos

Some Results and Problems about Factorized Groups

Normalizers of Subnormal Subgroups

Isomorphisms between Homeomorphic Connected Compact-Like Abelian Groups

Applications of Abelian Groups and Model Theory to Algebraic Structures

Groups Satisfying the Minimal Condition on Non-Subnormal Subgroups

Metabelian Groups with All Cyclic Subgroups Subnormal of Bounded Defect

Locally Finite Groups Whose Sylow Subgroups Are Chernikov

Groups Which Are Dual to Layer-Finite

Soluble Products of Groups

Torsionfree Varieties of Metabelian Groups

Rings with Noetherian Groups of Units

On Normal Closures of Elements in Generalized FC-Groups

Centrality in Soluble Groups

Finite p-Groups in Which Subgroups Have Large Cores

Fixed Points Induced by the Permutation of Generators in a Free Group of Rank 2

Subgroup Growth: Some Current Developments

Power Subgroups of Profinite Groups

On the 4-Levi Centre and the 4-Bell Centre of a Group

Varieties of Representations of Groups, Quasivarieties and Pseudovarieties of Groups

Groups with a Minimality Condition

On Groups with Chernikov Centralizer of a 2-Subgroup

On Torsion-Free Groups with Trivial Center

Groups with Pronormal Subgroups of Proper Normal Subgroups

Some Examples of Factorized Groups and Their Relation to Ring Theory

FC-Groups: Recent Progress

A Remark on Representations of Lattices by Subgroups

A Note on Commutator Laws in Groups

Some Finiteness Conditions in Groups

First-Order Group Theory

From Finite to Infinite Groups: a Historical Survey

List of Participants

List of Lectures

List of Contributors

Bibliographic data