Mapping Class Groups
Free subgroups of surface mapping class groups
... of mapping class groups have attracted considerable attention from a number of authors over a number of ...pseudo-Anosov mapping classes with pairwise distinct axes freely generates a free ...
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ASYMPTOTIC DIMENSION OF BIG MAPPING CLASS GROUPS
... big mapping class groups are not even countably ...compact groups [20], we can establish a notion large scale geometry for big mapping class groups when Map(Σ) has a ...
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A SHORT INTRODUCTION TO MAPPING CLASS GROUPS. Contents
... 2. Generation As we shall now see, mapping class groups are generated by “Dehn twists.” Those are homeomorphisms Σ → Σ whose support is the regular neighborhood of a simple closed curve. In the ...
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Uniformly exponential growth and mapping class groups of surfaces
... the mapping class group of an orientable surface with finitely generated fundamental group has uniformly exponential ...such mapping class groups are not ...
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Large scale rigidity properties of the mapping class groups
... the mapping class group of a compact orientable ...a mapping class group into itself agrees up to bounded distance with a left ...the mapping class groups are ...
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Structure of the mapping class groups of surfaces: a survey and a prospect
... the mapping class groups of surfaces mainly from the point of view of topol- ...the mapping class group and invariants of 3–manifolds, the unstable cohomology of the moduli space of ...
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A Brief Introduction to Mapping Class Groups. Yair N. Minsky
... to Mapping Class Groups Yair ...on mapping class groups and moduli spaces in the summer of ...the mapping class group of a surface, discuss its basic features from ...
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Mathematical Research Letters 1, (1994) MAPPING CLASS GROUPS ARE AUTOMATIC. Lee Mosher
... MAPPING CLASS GROUPS ARE AUTOMATIC Lee Mosher Let S be a compact surface, possibly with the extra structure of an orien- tation or a finite set of distinguished points called ...The mapping ...
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Random walks on the mapping class group
... interesting application of random walks in the specific setting of mapping class groups. As its name suggest, a random walk on a graph is a sequence of nodes obtained starting at a certain base point ...
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A combination theorem for Veech subgroups of the mapping class group
... the mapping class group isomorphic to the fundamental group of a closed surface of genus at least 2 for which all non-identity elements are pseudo-Anosov? The rest of the paper is organized as ...studying ...
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Heuristics on class groups
... (C) For real quadratic fields <ü(Jp) with p a l mod 4 prime, it is conjectured than an infinite number of them have class number l, and in fact experimental evidence seems to ahow th[r] ...
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Automorphism groups of metacyclic groups of class two
... G has a trivial center it can be embedded into its own automorphism group [2]. In the category of Riemann surfaces, an automorphism is an objective biholomorphic map from a surface to itself. For example, the ...
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Command Class Mapping
... Command class to which the Basic Command Class is mapped RF9500 Multilevel Switch Command Class RF9501 Binary Switch Command Class RF9505 Binary Switch Command Class RF9505-T Binary ...
Computing Néron-Severi groups and cycle class groups
... Proof. Enumerate s-tuples (y 1 , . . . , y s ) of elements of Z d−p (X L 0 ) as L 0 ranges over finite extensions of L. As each s-tuple is computed, compute also the intersection numbers y i .z j ∈ Z and halt if det(y i ...
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On a class of generalised Schmidt groups
... Consequently, G cannot be a non-abelian simple group, and this contra- diction establishes the theorem. Proof of Theorem D. We use induction on the order of G. We may assume that G is not a Rose group by Theorem A. Then, ...
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A CLASS OF RIGHT-ORDERABLE GROUPS
... A CLASS OF RIGHT-ORDERABLE GROUPS R. T. BOTTO MURA A N D A. H. R H E M T U L L A 1. Introduction. A group G is called right-orderable (or an RO-group) if there exists an order relation ^ on G such that a ^ ...
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Presentations of the Mapping Class Group
... We identify w, x, y and z with their images under the Whitehead move. Without loss of generality, we assume that the sector below e is the first one traversed. This is the sector that involves edges e and f before the ...
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Isomorphisms and Automorphism Groups of a Class of Cayley Digraphs on Abelian Groups*
... A class of Cayley digraphs, cor- responding to the so-called CDI-subsets, for which the isomorphisms are uniquely determined by the group automorphisms is characterized.. Th[r] ...
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Euler class groups and the homology of elementary and special linear groups
... LINEAR GROUPS MARCO SCHLICHTING ...linear groups over rings with many ...Euler class is necessary and sufficient for an oriented projective module P of rank d to split off a rank 1 free direct ...
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The double transitivity of a class of permutation groups
... The object of this thesis is to show that certain finite abelian groups cannot occur as regular subgroups of uniprimitive (primitive but not doubly transitive) p[r] ...
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