Reversibility is a thread woven through many branches of mathematics. It arises in dynamics, in systems that admit a time-reversal symmetry, and in group theory where the reversible group elements are those that are conjugate to their inverses. However, the lack of a lingua franca for discussing rev...

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Bibliographic Details

Main Author:	O'Farrell, A. G. (Author)
Format:	Electronic eBook
Language:	English
Published:	Cambridge Cambridge University Press 2014
Series:	London Mathematical Society lecture note series 416
Subjects:	Conjugacy classes Group theory Automorphisms Dynamics Reverse mathematics Dynamisches System Umkehrbarkeit Gruppentheorie
Online Access:	BSB01 FHN01 Volltext
Summary:	Reversibility is a thread woven through many branches of mathematics. It arises in dynamics, in systems that admit a time-reversal symmetry, and in group theory where the reversible group elements are those that are conjugate to their inverses. However, the lack of a lingua franca for discussing reversibility means that researchers who encounter the concept may be unaware of related work in other fields. This text is the first to make reversibility the focus of attention. The authors fix standard notation and terminology, establish the basic common principles, and illustrate the impact of reversibility in such diverse areas as group theory, differential and analytic geometry, number theory, complex analysis and approximation theory. As well as showing connections between different fields, the authors' viewpoint reveals many open questions, making this book ideal for graduate students and researchers. The exposition is accessible to readers at the advanced undergraduate level and above
Item Description:	Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Physical Description:	1 online resource (xii, 281 pages)
ISBN:	9781139998321
DOI:	10.1017/CBO9781139998321