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Metacyclic Groups And The D(2) Problem by Francis E A Johnson (Univ College London, Uk) at Abbey's Bookshop,
Metacyclic Groups And The D(2) Problem
— —
Francis E A Johnson (Univ College London, Uk)

Metacyclic Groups And The D

2 Problem

Francis E A Johnson (Univ College London, Uk)

$212.99

Hardback

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English
World Scientific Publishing Co Pte Ltd
04 January 2021
Algebraic topology
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.
By:  
Imprint:   World Scientific Publishing Co Pte Ltd
Country of Publication:   Singapore
ISBN:   9789811222757
ISBN 10:   9811222754
Pages:   372
Publication Date:  
Audience:   College/higher education ,  Professional and scholarly ,  Primary ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active

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