The Maximal Subgroups of the Low-Dimensional Finite Classical Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Maximal Subgroups of the Low-Dimensional Finite Classical Groups write by John N. Bray. This book was released on 2013-07-25. The Maximal Subgroups of the Low-Dimensional Finite Classical Groups available in PDF, EPUB and Kindle. This book classifies the maximal subgroups of the almost simple finite classical groups in dimension up to 12; it also describes the maximal subgroups of the almost simple finite exceptional groups with socle one of Sz(q), G2(q), 2G2(q) or 3D4(q). Theoretical and computational tools are used throughout, with downloadable Magma code provided. The exposition contains a wealth of information on the structure and action of the geometric subgroups of classical groups, but the reader will also encounter methods for analysing the structure and maximality of almost simple subgroups of almost simple groups. Additionally, this book contains detailed information on using Magma to calculate with representations over number fields and finite fields. Featured within are previously unseen results and over 80 tables describing the maximal subgroups, making this volume an essential reference for researchers. It also functions as a graduate-level textbook on finite simple groups, computational group theory and representation theory.
The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
The Maximal Subgroups of the Low-Dimensional Finite Classical Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Maximal Subgroups of the Low-Dimensional Finite Classical Groups write by John N. Bray. This book was released on 2013-07-25. The Maximal Subgroups of the Low-Dimensional Finite Classical Groups available in PDF, EPUB and Kindle. Classifies the maximal subgroups of the finite groups of Lie type up to dimension 12, using theoretical and computational methods.
The Subgroup Structure of the Finite Classical Groups
The Subgroup Structure of the Finite Classical Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Subgroup Structure of the Finite Classical Groups write by Peter B. Kleidman. This book was released on 1990-04-26. The Subgroup Structure of the Finite Classical Groups available in PDF, EPUB and Kindle. With the classification of the finite simple groups complete, much work has gone into the study of maximal subgroups of almost simple groups. In this volume the authors investigate the maximal subgroups of the finite classical groups and present research into these groups as well as proving many new results. In particular, the authors develop a unified treatment of the theory of the 'geometric subgroups' of the classical groups, introduced by Aschbacher, and they answer the questions of maximality and conjugacy and obtain the precise shapes of these groups. Both authors are experts in the field and the book will be of considerable value not only to group theorists, but also to combinatorialists and geometers interested in these techniques and results. Graduate students will find it a very readable introduction to the topic and it will bring them to the very forefront of research in group theory.
The Maximal Subgroups of Classical Algebraic Groups
The Maximal Subgroups of Classical Algebraic Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Maximal Subgroups of Classical Algebraic Groups write by Gary M. Seitz. This book was released on 1987. The Maximal Subgroups of Classical Algebraic Groups available in PDF, EPUB and Kindle. Let [italic]V be a finite dimensional vector space over an algebraically closed field of characteristic p [greater than] 0 and let G = SL([italic]V), Sp([italic]V), or SO([italic]V). The main result describes all closed, connected, overgroups of [italic]X in SL([italic]V), assuming [italic]X is a closed, connected, irreducible subgroup of G.
The Maximal Subgroups of the Classical Groups in Dimension 13, 14 and 15
The Maximal Subgroups of the Classical Groups in Dimension 13, 14 and 15 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Maximal Subgroups of the Classical Groups in Dimension 13, 14 and 15 write by Anna Katharina Schröder. This book was released on 2015. The Maximal Subgroups of the Classical Groups in Dimension 13, 14 and 15 available in PDF, EPUB and Kindle.
