Groups graphs and surfaces
Embedding groups of graph automorphisms in surfaces j´erˆome e los∗ zbigniew h nitecki† june 20, 2002 abstract necessary and suﬃcient conditions are found for a subgroup of the automorphism group of a ﬁnite. Vf cer2008 pakistan xls: dress code brochure nov2005: figure1 ai: microsoft word qsak0111 doc: ht61 2301sursursurc s doc: ltc3127 1a dc dc: 375785: 99957: 123071. Graphs on surfaces form a natural link between discrete and continuous mathematics the book provides a rigorous and concise introduction to graphs on surfaces and surveys some of the recent developments in this area. Graphs of groups amalgamated free products de nition let abc be groups and let ˙: c a and ˝c a be injective homomorphisms if the diagram below is a push out then we write. Hyperbolic graphs of surface groups honglin min rutgers university - newark may 2, 2008 notations let s be a closed hyperbolic surface let t (s) be the te-ichmuller space of s let pml be the projective measured lamination space of s let mcg(s) be the mapping class group of s let `: s.
Hurwitz groups and surfaces lecture 8 hyperbolic 3-manifolds with large symmetry groups graphs and groups: graphs with semi-edges and their fundamental groups actions of groups on graphs highly symmetrical graphs subgroup enumeration in some finitely generated groups enumeration of conjugacy classes of subgroups. Buy graphs, groups and surfaces by arthur t white (isbn: 9780444557995) from amazon's book store everyday low prices and free delivery on eligible orders. 30 s maillot cmh quasi-homogeneous riemannian plane theorem 11 let ¡ be a ﬂnitely generated group if ¡ is quasi-isometric to a complete, quasi-homogeneous riemannian plane, then ¡ is a virtual closed surface group the main result of this paper generalizes theorem 11 in two directions. The concept emerged in the theory of riemann surfaces, in the work of bernhard riemann, poincaré, and felix klein it describes the monodromy properties of complex-valued functions, more generally, the fundamental group of any graph is a free group if the graph g is connected,.
The action on homology of ﬁnite groups of automorphisms of surfaces and graphs andrew putman abstract we prove that aside from trivial cases, ﬁnite-order homeomorphisms. Graphs, groups and surfaces - arthur t white - google books graphs of groups, which are the basic objects of bass–serre theory, can be group of the surface), as gromov-hausdorff limits of, appropriately. Abstract we give a characterization of virtual surface groups as groups quasi-isometric to complete simply-connected riemannian surfaces results on the equivalence up to quasi-isometry of various bounded geometry conditions for riemannian surfaces are also obtained. Bipartite graph embeddings, riemann surfaces and galois groups jones, gareth a 2015-10-06 00:00:00 this is a survey of two related research topics, in each of which surface embeddings of bipartite graphs provide a bridge between two separate areas of mathematics: in the first case these are riemann surface theory and the galois theory of.
Read graphs of groups on surfaces interactions and models by at white with rakuten kobo the book, suitable as both an introductory reference and as a text book in the rapidly growing field of topological grap. Discrete geometry and combinatorial geometry are branches of geometry that study combinatorial properties and constructive methods of discrete geometric objects most questions in discrete geometry involve finite or discrete sets of basic geometric objects, such as points , lines , planes , circles , spheres , polygons , and so forth. Graphs drawn on two-dimensional surfaces have always attracted researchers by their beauty and by the variety of difficult questions to which they give rise the theory of such embedded graphs, which long seemed rather isolated, has witnessed the appearance of entirely unexpected new applications. Get this from a library graphs, groups, and surfaces [arthur t white] -- the field of topological graph theory has expanded greatly in the ten years since the first edition of this book appeared the original nine chapters of this classic work have therefore been revised.
Groups graphs and surfaces
Graph of groups - wikipedia in geometric group theory, a graph of groups is an object consisting of a collection of groups indexed by the vertices and edges of a graph, together with a family of monomorphisms of the edge groups into the vertex groups. Interactions and models, graphs of groups on surfaces, white, at, north holland des milliers de livres avec la livraison chez vous en 1 jour ou en magasin avec -5% de réduction. Share on facebook, opens a new window share on twitter, opens a new window share on linkedin share by email, opens mail client this paper discusses the definitions of graphs, groups and surfaces and some of their relations the example for application of groups of graphs and surfaces in the form of. Amsterdam : new york : north-holland pub co, 1973 format: book.
Marston conder distinguished professor of mathematics lists of regular maps, hypermaps and polytopes, trivalent symmetric graphs, and surface actions click where underlined to see and download recently-found lists of regular/chiral maps and hypermaps group actions on surfaces. Summary the book, suitable as both an introductory reference and as a text book in the rapidly growing field of topological graph theory, models both maps (as in map-coloring problems) and groups by means of graph imbeddings on sufaces. Graphs of groups on surfaces interactions and models, the euler genus of a graph is a fundamental and well studied parameter in graph theory and topology computing it has been shown to be np hard by thomassen [tho89, tho93], and it is known to be fixed parameter tractable graphs of groups on surfaces interactions and models.
Description the book, suitable as both an introductory reference and as a text book in the rapidly growing field of topological graph theory, models both maps (as in map-coloring problems) and groups by means of graph imbeddings on surfaces. The latter is facilitated by imbedding the right graph of the right group on an appropriate surface, with suitable symmetries throughout the emphasis is on cayley maps: imbeddings of cayley graphs for finite groups as (possibly branched) covering projections of surface imbeddings of loop graphs with one vertex.