Automorphisms of Finite Groups
The book describes developments on some well-known problems regarding the relationship between orders of finite groups and that of their automorphism groups. It is broadly divided into three parts: the first part offers an exposition of the fundamental ex
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Inder Bir Singh Passi Mahender Singh Manoj Kumar Yadav
Automorphisms of Finite Groups
Springer Monographs in Mathematics Editors-in-chief Isabelle Gallagher, Paris, France Minhyong Kim, Oxford, UK Series editors Sheldon Axler, San Francisco, USA Mark Braverman, Toronto, Canada Maria Chudnovsky, Princeton, USA Tadahisa Funaki, Tokyo, Japan Sinan C. Güntürk, New York, USA Claude Le Bris, Marne la Vallée, France Pascal Massart, Orsay, France Alberto Pinto, Porto, Portugal Gabriella Pinzari, Napoli, Italy Ken Ribet, Berkeley, USA René Schilling, Dresden, Germany Panagiotis Souganidis, Chicago, USA Endre Süli, Oxford, UK Shmuel Weinberger, Chicago, USA Boris Zilber, Oxford, UK
This series publishes advanced monographs giving well-written presentations of the “state-of-the-art” in fields of mathematical research that have acquired the maturity needed for such a treatment. They are sufficiently self-contained to be accessible to more than just the intimate specialists of the subject, and sufficiently comprehensive to remain valuable references for many years. Besides the current state of knowledge in its field, an SMM volume should ideally describe its relevance to and interaction with neighbouring fields of mathematics, and give pointers to future directions of research.
More information about this series at http://www.springer.com/series/3733
Inder Bir Singh Passi Mahender Singh Manoj Kumar Yadav •
Automorphisms of Finite Groups
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Inder Bir Singh Passi Centre for Advanced Study in Mathematics Panjab University Chandigarh, India
Manoj Kumar Yadav School of Mathematics Harish-Chandra Research Institute HBNI Jhunsi Allahabad, Uttar Pradesh, India
Mahender Singh Department of Mathematical Sciences Indian Institute of Science Education and Research, Mohali SAS Nagar, Punjab, India
ISSN 1439-7382 ISSN 2196-9922 (electronic) Springer Monographs in Mathematics ISBN 978-981-13-2894-7 ISBN 978-981-13-2895-4 (eBook) https://doi.org/10.1007/978-981-13-2895-4 Library of Congress Control Number: 2018957651 AMS Subject Classification (2010): 20D45, 20J05, 20D15, 20E18 © Springer Nature Singapore Pte Ltd. 2018 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 publis
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