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OverviewFull Product DetailsAuthor: Péter Nagy , Karl StrambachPublisher: De Gruyter Imprint: De Gruyter Edition: Reprint 2011 Volume: 35 Dimensions: Width: 17.00cm , Height: 2.20cm , Length: 24.00cm Weight: 0.760kg ISBN: 9783110170108ISBN 10: 3110170108 Pages: 370 Publication Date: 22 March 2002 Recommended Age: College Graduate Student Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsPreface · Notation · Introduction Part I: General theory of transitive sections in groups and the geometry of loops Elements of the theory of loops · Scheerer extensions of loops · Nets associated with loops · Local 3-nets · Loop-sections covered by 1-parameter subgroups and geodesic loops · Bol loops and symmetric spaces · Bol nets · Strongly topological and analytic Bol loops · Core of a Bol loop and Bruck loops · Bruck loops and symmetric quasigroups over groups · Topological and differentiable Bruck loops · Bruck loops in algebraic groups · Core-related Bol loops · Products and loops as sections in compact Lie groups · Loops on symmetric spaces of groups · Loops with compact translation groups and compact Bol loops · Sharply transitive normal subgroups Part II: Smooth loops on low dimensional manifolds Loops on 1-manifolds · Topological loops on 2-dimensional manifolds · Topological loops on tori · Topological loops on the cylinder and on the plane · The hyperbolic plane loop and its isotopism class · 3-dimensional solvable left translation groups · Classification of differentiable 2-dimensional Bol loops · Collineation groups of 4-dimensional Bol nets · Strongly left alternative plane left A-loops · Loops with Lie group of all translations · Multiplicative loops of quasifields BibliographyReviewsThis book is remarkably self-contained, replete with definitions, examples, constructions, and proofs of many of its key results. Mathematical Reviews The present book is a comprehensive treatise devoted to the theory of topological, differentiable and algebraic loops. Zentralblatt f r Mathematik This book is remarkably self-contained, replete with definitions, examples, constructions, and proofs of many of its key results. Mathematical Reviews The present book is a comprehensive treatise devoted to the theory of topological, differentiable and algebraic loops. Zentralblatt fur Mathematik ""This book is remarkably self-contained, replete with definitions, examples, constructions, and proofs of many of its key results."" Mathematical Reviews ""The present book is a comprehensive treatise devoted to the theory of topological, differentiable and algebraic loops."" Zentralblatt für Mathematik Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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