Skip to main content
SpringerLink
Log in

Group Theory and Computation

  • Book
  • © 2018

Overview

Editors:
  1. N.S. Narasimha Sastry

    1. Department of Mathematics, Indian Institute of Technology Dharwad, Dharwad, India

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Manoj Kumar Yadav

    1. Harish-Chandra Research Institute, Allahabad, India

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Discusses theoretical and computational aspects of group theory
  • Summarizes state-of-the-art research topics on different aspects of group theory
  • Appeals to researchers in the area of group theory, the computation aspects of group theory, and related fields

Part of the book series: Indian Statistical Institute Series (INSIS)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 79.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (10 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. On Right Conjugacy Closed Loops of Twice Prime Order

    • Katharina Artic, Gerhard Hiss
    Pages 1-27

  3. Compatible Actions and Non-abelian Tensor Products

    • Valeriy G. Bardakov, Mikhail V. Neshchadim
    Pages 29-39

  4. On Zeros of Characters of Finite Groups

    • Silvio Dolfi, Emanuele Pacifici, Lucia Sanus
    Pages 41-58

  5. Properties of Finite and Periodic Groups Determined by Their Element Orders (A Survey)

    • Marcel Herzog, Patrizia Longobardi, Mercede Maj
    Pages 59-90

  6. Calculating Subgroups with GAP

    • Alexander Hulpke
    Pages 91-106

  7. The Future of Majorana Theory

    • Alexander A. Ivanov
    Pages 107-118

  8. Finite Groups with Abelian Automorphism Groups: A Survey

    • Rahul Dattatraya Kitture, Manoj K. Yadav
    Pages 119-140

  9. Camina Groups, Camina Pairs, and Generalizations

    • Mark L. Lewis
    Pages 141-173

  10. The Upper Central Series of the Unit Groups of Integral Group Rings: A Survey

    • Sugandha Maheshwary, Inder Bir S. Passi
    Pages 175-195

  11. Character Tables and Sylow Subgroups Revisited

    • Gabriel Navarro
    Pages 197-206
Back to top

Keywords

About this book

This book is a blend of recent developments in theoretical and computational aspects of group theory. It presents the state-of-the-art research topics in different aspects of group theory, namely, character theory, representation theory, integral group rings, the Monster simple group, computational algorithms and methods on finite groups, finite loops, periodic groups, Camina groups and generalizations, automorphisms and non-abelian tensor product of groups. Presenting a collection of invited articles by some of the leading and highly active researchers in the theory of finite groups and their representations and the Monster group, with a focus on computational aspects, this book is of particular interest to researchers in the area of group theory and related fields of mathematics.

Editors and Affiliations

  • Department of Mathematics, Indian Institute of Technology Dharwad, Dharwad, India

    N.S. Narasimha Sastry

  • Harish-Chandra Research Institute, Allahabad, India

    Manoj Kumar Yadav

About the editors

N.S. NARASIMHA SASTRY is currently a visiting professor at the Indian Institute of Technology Dharwad, Karnataka, India. Prior to this, he was a professor of mathematics and Head of the Indian Statistical Institute, Bangalore Center, India. He received his PhD from the University of Pittsburgh, Pennsylvania, USA, and has held visiting positions at the Tata Institute of Fundamental Research, Mumbai, India; Michigan State University, East Lansing, USA; University of Western Australia, Perth, Australia; Rutgers University, New Brunswick, USA; University of Florida, Gainsville, USA; and University of Ghent, Belgium. In addition to publishing more than 30 research articles in various journals, he has also edited books: Buildings, Finite Geometries and Groups and Groups of Exceptional Type, Coxeter Groups and Related Geometries, both published by Springer; as well a Essays in Geometric Group Theory, published by the Ramanujan Mathematical Society. He also co-edited Perspectives in Mathematical Sciences (Volumes 1 and 2), published by World Scientific. His research interests are finite groups including finite simple groups, geometries related to finite simple groups, algebraic codes, Coxeter groups and the Monster.


MANOJ KUMAR YADAV is an associate professor of mathematics at the Harish-Chandra Research Institute, Allahabad, India. He received his PhD in mathematics from Kurukshetra University, Haryana, in 2002. He was awarded the Indian National Science Academy Medal for Young Scientists for 2009 and the Department of Science & Technology—Science and Engineering Research Council (SERC) fellowship “Fast Track Scheme for Young Scientist” for 2005–2008. He is a member of the National Academy of Sciences, India (NASI). His research interests lie in group theory, particularly automorphisms, conjugacy classes and Schur multipliers of groups. He has published over 25 research papers in various respected journals, conference proceedingsand contributed volumes.




Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation