Subgroup complexes

✍ Scribed by Stephen D. Smith

Publisher: American Mathematical Society
Year: 2011
Tongue: English
Leaves: 378
Series: Mathematical Surveys and Monographs 179
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

This book is intended as an overview of a research area that combines geometries for groups (such as Tits buildings and generalizations), topological aspects of simplicial complexes from $p$-subgroups of a group (in the spirit of Brown, Quillen, and Webb), and combinatorics of partially ordered sets. The material is intended to serve as an advanced graduate-level text and partly as a general reference on the research area. The treatment offers optional tracks for the reader interested in buildings, geometries for sporadic simple groups, and $G$-equivariant equivalences and homology for subgroup complexes

📜 SIMILAR VOLUMES

Subgroup Growth

📁 Subgroup Growth

✍ Alexander Lubotzky, Dan Segal 📂 Library 📅 2003 🏛 Springer 🌐 English

<p>Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2001.</p> <p>Subgroup growth studies the distribution of subgroups of finite index in a group as a function of the index. In the last two decades this topic has developed into one of the most active areas of research in infinite group

Subgroup Growth

📁 Subgroup Growth

✍ Alexander Lubotzky, Dan Segal (auth.) 📂 Library 📅 2003 🏛 Birkhäuser Basel 🌐 English

Subgroup Growth

📁 Subgroup Growth

✍ Alexander Lubotzky, Dan Segal (auth.) 📂 Library 📅 2003 🏛 Birkhäuser Basel 🌐 English

Inverse Commutator Subgroups

📁 Inverse Commutator Subgroups

✍ Miller G.A. 📂 Library 📅 1931 🌐 English

Subgroup lattices of groups

📁 Subgroup lattices of groups

✍ Roland Schmidt 📂 Library 📅 1994 🏛 W. de Gruyter 🌐 English

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

📁 Subnormal Subgroups of Groups

✍ John C. Lennox, Stewart E. Stonehewer 📂 Library 📅 1987 🏛 Oxford University Press, USA 🌐 English

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 subn