Metacyclic Groups And The D(2) Problem
Regular price
€122.99
14 days return policy
Shipping & Delivery
A01=Francis E A Johnson
Author_Francis E A Johnson
Cancellation Properties of Modules
Category=PBPD
D(2) Problem
Derived Module Category
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Integral Representations of Metacyclic Groups
Stable Module
Swan Homomorphisms
Syzygies
Product details
- ISBN 9789811222757
- Publication Date: 04 Jan 2021
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
Secure
checkout
Fast Shipping
Easy returns
The D(2) problem is a fundamental problem in low dimensional topology. In broad terms, it asks when a three-dimensional space can be continuously deformed into a two-dimensional space without changing the essential algebraic properties of the spaces involved.The problem is parametrized by the fundamental group of the spaces involved; that is, each group G has its own D(2) problem whose difficulty varies considerably with the individual nature of G.This book solves the D(2) problem for a large, possibly infinite, number of finite metacyclic groups G(p, q). Prior to this the author had solved the D(2) problem for the groups G(p, 2). However, for q > 2, the only previously known solutions were for the groups G(7, 3), G(5, 4) and G(7, 6), all done by difficult direct calculation by two of the author's students, Jonathan Remez (2011) and Jason Vittis (2019).The method employed is heavily algebraic and involves precise analysis of the integral representation theory of G(p, q). Some noteworthy features are a new cancellation theory of modules (Chapters 10 and 11) and a simplified treatment (Chapters 5 and 12) of the author's theory of Swan homomorphisms.
