Download or read book Relative Outer Automorphisms of Free Groups written by Erika Meucci and published by . This book was released on 2011 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Centralizers of Finite Subgroups of Automorphisms and Outer Automorphisms of Free Groups written by Debra Lynn Boutin and published by . This book was released on 1998 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Maximum Order Finite Groups of Outer Automorphisms of Free Groups written by Sicheng Wang and published by . This book was released on 1993 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mapping Tori of Outer Automorphisms of Free Groups written by Zhifeng Wang and published by . This book was released on 2002 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Combinatorial and Geometric Group Theory written by Oleg Bogopolski and published by Springer Science & Business Media. This book was released on 2011-01-28 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume assembles several research papers in all areas of geometric and combinatorial group theory originated in the recent conferences in Dortmund and Ottawa in 2007. It contains high quality refereed articles developing new aspects of these modern and active fields in mathematics. It is also appropriate to advanced students interested in recent results at a research level.
Download or read book Free and Linear Representations of Outer Automorphism Groups of Free Groups written by David Kielak and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algebra written by I.B.S. Passi and published by Birkhäuser. This book was released on 2012-12-06 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Indian National. Science Academy has planned to bring out monographs on special topics with the aim of providing acce~sible surveys/reviews of topics of current research in various fields. Prof. S.K. Malik, FNA, Editor of Publications INSA asked me in October 1997 to edit a volume on algebra in this series. I invited a number of algebraists, several of them working in group rings, and it is with great satisfaction and sincere thanks to the authors that I present here in Algebra: Some Recent Advances the sixteen contributions received in response to my invitations. I.B.S. Passi On Abelian Difference Sets K. r Arasu* and Surinder K. Sehgal 1. Introduction We review some existence and nonexistence results - new and old - on abelian difference sets. Recent surveys on difference sets can be found in Arasu (1990), Jungnickel (1992a, b), Pott (1995), Jungnickel and Schmidt (1997), and Davis and Jedwab (1996). Standard references for difference sets are Baumert (1971), Beth et al. (1998), and Lander (1983). This article presents a flavour of the subject, by discussing some selected topics. Difference sets are very important in combinatorial design theory and in commu nication engineering while designing sequences with good correlation properties. Our extended bibliography covers a wide variety of papers written in the area of difference sets and related topics.
Download or read book The Quadratic Isoperimetric Inequality for Mapping Tori of Free Group Automorphisms written by Martin R. Bridson and published by American Mathematical Soc.. This book was released on 2010-01-15 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors prove that if $F$ is a finitely generated free group and $\phi$ is an automorphism of $F$ then $F\rtimes_\phi\mathbb Z$ satisfies a quadratic isoperimetric inequality. The authors' proof of this theorem rests on a direct study of the geometry of van Kampen diagrams over the natural presentations of free-by-cylic groups. The main focus of this study is on the dynamics of the time flow of $t$-corridors, where $t$ is the generator of the $\mathbb Z$ factor in $F\rtimes_\phi\mathbb Z$ and a $t$-corridor is a chain of 2-cells extending across a van Kampen diagram with adjacent 2-cells abutting along an edge labelled $t$. The authors prove that the length of $t$-corridors in any least-area diagram is bounded by a constant times the perimeter of the diagram, where the constant depends only on $\phi$. The authors' proof that such a constant exists involves a detailed analysis of the ways in which the length of a word $w\in F$ can grow and shrink as one replaces $w$ by a sequence of words $w_m$, where $w_m$ is obtained from $\phi(w_{m-1})$ by various cancellation processes. In order to make this analysis feasible, the authors develop a refinement of the improved relative train track technology due to Bestvina, Feighn and Handel.
Download or read book Breadth in Contemporary Topology written by David T. Gay and published by American Mathematical Soc.. This book was released on 2019-06-27 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 2017 Georgia International Topology Conference, held from May 22–June 2, 2017, at the University of Georgia, Athens, Georgia. The papers contained in this volume cover topics ranging from symplectic topology to classical knot theory to topology of 3- and 4-dimensional manifolds to geometric group theory. Several papers focus on open problems, while other papers present new and insightful proofs of classical results. Taken as a whole, this volume captures the spirit of the conference, both in terms of public lectures and informal conversations, and presents a sampling of some of the great new ideas generated in topology over the preceding eight years.
Download or read book Finite Groups of Outer Automorphisms of Free Groups of Finite Rank written by Yuxing Wang and published by . This book was released on 1996 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Homotopy Equivalences of 3 Manifolds and Deformation Theory of Kleinian Groups written by Richard Douglas Canary and published by American Mathematical Soc.. This book was released on 2004 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Three volume narrative history of 20th century.
Download or read book Subgroup Decomposition in Out Fn written by Michael Handel and published by American Mathematical Soc.. This book was released on 2020-05-13 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work the authors develop a decomposition theory for subgroups of Out(Fn) which generalizes the decomposition theory for individual elements of Out(Fn) found in the work of Bestvina, Feighn, and Handel, and which is analogous to the decomposition theory for subgroups of mapping class groups found in the work of Ivanov.
Download or read book Surface realizable Finite Groups of Outer Automorphisms of Finitely generated Free Groups written by Christopher Thomas and published by . This book was released on 2001 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: A homeomorphism from a punctured surface to itself induces an outer automorphism of the free fundamental group of the surface, an outer automorphism which can be called surface-realizable. This paper provides necessary and sufficient conditions for a finite abelian group of outer automorphisms of a finitely-generated free group to be surface-realizable. Furthermore, n.a.s.c. are given for any finite group of such outer automorphisms to be realized by orientation-preserving homeomorphisms of an orientable surface. These properties are identified by examining those finite subgroups of automorphisms which are mapped into the group of outer automorphisms by the usual projection, and making sure that the non-trivial automorphisms fix either a trivial or cyclic subgroup of the free group. Examples are given to show the difficulties in applying this method to non-abelian cases.
Download or read book Frontiers in Complex Dynamics written by Araceli Bonifant and published by Princeton University Press. This book was released on 2014-03-16 with total page 799 pages. Available in PDF, EPUB and Kindle. Book excerpt: John Milnor, best known for his work in differential topology, K-theory, and dynamical systems, is one of only three mathematicians to have won the Fields medal, the Abel prize, and the Wolf prize, and is the only one to have received all three of the Leroy P. Steele prizes. In honor of his eightieth birthday, this book gathers together surveys and papers inspired by Milnor's work, from distinguished experts examining not only holomorphic dynamics in one and several variables, but also differential geometry, entropy theory, and combinatorial group theory. The book contains the last paper written by William Thurston, as well as a short paper by John Milnor himself. Introductory sections put the papers in mathematical and historical perspective, color figures are included, and an index facilitates browsing. This collection will be useful to students and researchers for decades to come. The contributors are Marco Abate, Marco Arizzi, Alexander Blokh, Thierry Bousch, Xavier Buff, Serge Cantat, Tao Chen, Robert Devaney, Alexandre Dezotti, Tien-Cuong Dinh, Romain Dujardin, Hugo García-Compeán, William Goldman, Rotislav Grigorchuk, John Hubbard, Yunping Jiang, Linda Keen, Jan Kiwi, Genadi Levin, Daniel Meyer, John Milnor, Carlos Moreira, Vincente Muñoz, Viet-Anh Nguyên, Lex Oversteegen, Ricardo Pérez-Marco, Ross Ptacek, Jasmin Raissy, Pascale Roesch, Roberto Santos-Silva, Dierk Schleicher, Nessim Sibony, Daniel Smania, Tan Lei, William Thurston, Vladlen Timorin, Sebastian van Strien, and Alberto Verjovsky.
Download or read book Mapping Class Subgroups of Outer Automorphism Groups of Free Groups written by Matthew Eugene Horak and published by . This book was released on 2003 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Constructing and Classifying Fully Irreducible Outer Automorphisms of Free Groups written by Catherine Pfaff and published by . This book was released on 2012 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main theorem of this document emulates, in the context of Out(F_r) theory, a mapping class group theorem (by H. Masur and J. Smillie) that determines precisely which index lists arise from pseudo-Anosov mapping classes. Since the ideal Whitehead graph gives a finer invariant in the analogous setting of a fully irreducible outer automorphisms of free groups, we instead focus on determining which of the twenty-one connected, loop-free, five-vertex graphs are ideal Whitehead graphs of ageometric, fully irreducible outer automorphisms of free groups in rank three. Our main theorem accomplishes this by showing that there are precisely eighteen graphs arising as such. We also give a method for identifying certain complications called periodic Nielsen paths, prove the existence of conveniently decomposed representatives of ageometric, fully irreducible outer automorphisms of free groups having connected, (2r-1)-vertex ideal Whitehead graphs, and prove a criterion for identifying representatives of ageometric, fully irreducible outer automorphisms of free groups. The strategies we use for constructing fully irreducible outer automorphisms of free groups, as well as our identification and decomposition techniques, can be used to extend our main theorem, as they are valid in any rank. Our methods of proof rely primarily on Bestvina-Feighn-Handel train track theory and the theory of attracting laminations.
