These notes derive from a course of lectures delivered at the University of Florida in Gainesville during 1971/2. Dr Gagen presents a simplified treatment of recent work by H. Bender on the classification of non-soluble groups with abelian Sylow 2-subgroups, together with some background material of
Subnormal Subgroups of Groups
β Scribed by John C. Lennox, Stewart E. Stonehewer
- Publisher
- Oxford University Press, USA
- Year
- 1987
- Tongue
- English
- Leaves
- 270
- Series
- Oxford Mathematical Monographs
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
This book is the first to give a comprehensive account of subnormal subgroups of both finite and infinite groups. The authors trace the historical development of the subject from the early work of Wielandt, including the celebrated "join problem," to very recent results relating to the elusive subnormalizer of a subgroup. The book explains how the study of group rings can give a powerful and unified approach to major problems and encourages postgraduates and researchers in group theory and ring theory to further explore problems whose solutions remain incomplete.
π SIMILAR VOLUMES
<p>"In the opinion of the reviewer the book is very well written β to wait for a new book in this area almost 40 years has proved to be worthwhile." <em>Zentralblatt fΓΌr Mathematik</em> </p>
Teichmuller modular groups, also known as mapping class groups of surfaces, serve as a meeting ground for several branches of mathematics, including low-dimensional topology, the theory of Teichmuller spaces, group theory, and, more recently, mathematical physics. The present work focuses mainly on