Groups, Modules, and Model Theory - Surveys and Recent Developments

This volume focuses on group theory and model theory with a particular emphasis on the interplay of the two areas. The survey papers provide an overview of the developments across group, module, and model theory while the research papers present the most

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odules, and Model Theory Surveys and Recent Developments In Memory of Rüdiger Göbel

Groups, Modules, and Model Theory - Surveys and Recent Developments

Manfred Droste • László Fuchs • Brendan Goldsmith Lutz Strüngmann Editors

Groups, Modules, and Model Theory - Surveys and Recent Developments In Memory of Rüdiger Göbel

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Editors Manfred Droste Institut für Informatik Universität Leipzig Leipzig, Germany Brendan Goldsmith Dublin Institute of Technology Dublin, Ireland

László Fuchs Department of Mathematics Tulane University New Orleans, LA, USA Lutz Strüngmann Faculty for Computer Sciences Mannheim University of Applied Sciences Mannheim, Germany

ISBN 978-3-319-51717-9 ISBN 978-3-319-51718-6 (eBook) DOI 10.1007/978-3-319-51718-6 Library of Congress Control Number: 2017942727 © Springer International Publishing AG 2017 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

A youthful Rüdiger

To the memory of Rüdiger Göbel – a beloved friend and distinguished colleague who inspired generations of young mathematicians

Rüdiger in more recent years

Preface

When Rüdiger Göbel died in July 2014, his many friends and colleagues from around the world felt it appropriate to acknowledge his contributions to a wideranging area of group theory and model theory by organising a conference in his honour. Out of this developed the conference New Pathways Between Group Theory and Model Theory which took place in Mülheim an der Ruhr, Germany, during February 1–4, 2016. The enthusiastic response to this conference led directly to this volume; we are most thankful to all the participants of that conference who helped to make it an unforgettable event that