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On The Cogrowth Series Of Free Products Of Finite Groups
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Book Synopsis On the Cogrowth Series of Free Products of Finite Groups by : Heng (Haggai) Liu
Download or read book On the Cogrowth Series of Free Products of Finite Groups written by Heng (Haggai) Liu and published by . This book was released on 2021 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given a group G with a finite set of generators, S, it is natural to ask if the product of n generators from S evaluate to the identity. The enumerative version of this problem, known as the cogrowth problem, counts the number of such products and studies the associated counting sequence. Many cogrowth sequences are known. This thesis focuses on the free products of finite groups: Specifically, cyclic and dihedral groups. Such groups have the property that their cogrowth generating functions are algebraic functions, and thus, are solutions to implicit polynomial equations. Using algebraic elimination techniques and free probability theory, we establish upper bounds on the degrees of the polynomial equations that they satisfy. This has implications for asymptotic enumeration, and makes it theoretically possible to determine the functions explicitly.
Book Synopsis Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) by : Sirakov Boyan
Download or read book Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) written by Sirakov Boyan and published by World Scientific. This book was released on 2019-02-27 with total page 5396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.
Book Synopsis Topological and Asymptotic Aspects of Group Theory by : R. I. Grigorchuk
Download or read book Topological and Asymptotic Aspects of Group Theory written by R. I. Grigorchuk and published by American Mathematical Soc.. This book was released on 2006 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume are based on the talks given at two special sessions at the AMS Sectional meetings held in 2004. The articles cover various topological and asymptotic aspects of group theory, such as hyperbolic and relatively hyperbolic groups, asymptotic cones, Thompson's group, Nielsen fixed point theory, homology, groups acting on trees, groups generated by finite automata, iterated monodromy groups, random walks on finitely generated groups, heat kernels, and currents on free groups.
Download or read book Mathematical Reviews written by and published by . This book was released on 2006 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Finite Groups by : Daniel Gorenstein
Download or read book Finite Groups written by Daniel Gorenstein and published by . This book was released on 1967 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Groups St Andrews 1997 in Bath: Volume 2 by : C. M. Campbell
Download or read book Groups St Andrews 1997 in Bath: Volume 2 written by C. M. Campbell and published by Cambridge University Press. This book was released on 1999-02-18 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume book contains selected papers from the international conference "Groups St. Andrews 1997 in Bath". The articles are arranged in roughly alphabetical order and cover a wide spectrum of modern group theory. There are articles based on lecture courses given by five main speakers together with refereed survey and research articles contributed by other conference participants. Proceedings of earlier "Groups St. Andrews" conferences have had a major impact on the development of group theory and these volumes should be equally important.
Book Synopsis Residually Finite Groups by : Robert Ives Campbell
Download or read book Residually Finite Groups written by Robert Ives Campbell and published by . This book was released on 1989 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Complexity and Randomness in Group Theory by : Frédérique Bassino
Download or read book Complexity and Randomness in Group Theory written by Frédérique Bassino and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-06-08 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows new directions in group theory motivated by computer science. It reflects the transition from geometric group theory to group theory of the 21st century that has strong connections to computer science. Now that geometric group theory is drifting further and further away from group theory to geometry, it is natural to look for new tools and new directions in group theory which are present.
Book Synopsis Theory and Applications of Finite Groups by :
Download or read book Theory and Applications of Finite Groups written by and published by . This book was released on 1916 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topics in Geometric Group Theory by : Pierre de la Harpe
Download or read book Topics in Geometric Group Theory written by Pierre de la Harpe and published by University of Chicago Press. This book was released on 2000-10-15 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Pierre de la Harpe provides a concise and engaging introduction to geometric group theory, a new method for studying infinite groups via their intrinsic geometry that has played a major role in mathematics over the past two decades. A recognized expert in the field, de la Harpe adopts a hands-on approach, illustrating key concepts with numerous concrete examples. The first five chapters present basic combinatorial and geometric group theory in a unique and refreshing way, with an emphasis on finitely generated versus finitely presented groups. In the final three chapters, de la Harpe discusses new material on the growth of groups, including a detailed treatment of the "Grigorchuk group." Most sections are followed by exercises and a list of problems and complements, enhancing the book's value for students; problems range from slightly more difficult exercises to open research problems in the field. An extensive list of references directs readers to more advanced results as well as connections with other fields.
Book Synopsis Identical Relations in Lie Algebras by : Yuri Bahturin
Download or read book Identical Relations in Lie Algebras written by Yuri Bahturin and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-08-23 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated edition of a classic title studies identical relations in Lie algebras and also in other classes of algebras, a theory with over 40 years of development in which new methods and connections with other areas of mathematics have arisen. New topics covered include graded identities, identities of algebras with actions and coactions of various Hopf algebras, and the representation theory of the symmetric and general linear group.
Book Synopsis Blocks of Finite Groups by : Lluís Puig
Download or read book Blocks of Finite Groups written by Lluís Puig and published by . This book was released on 2014-01-15 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Direct Product of a Finite Number of Finite Groups by : Harold Lockrem Larsen
Download or read book The Direct Product of a Finite Number of Finite Groups written by Harold Lockrem Larsen and published by . This book was released on 1972 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dissertation Abstracts International by :
Download or read book Dissertation Abstracts International written by and published by . This book was released on 1998 with total page 878 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory and Applications of Finite Groups by : H. F. Blichfeldt
Download or read book Theory and Applications of Finite Groups written by H. F. Blichfeldt and published by . This book was released on 1938 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book How Groups Grow written by Avinoam Mann and published by Cambridge University Press. This book was released on 2011-12-15 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the subject of the growth of groups from scratch, starting with basic definitions and culminating in the seminal results of Gromov and Grigorchuk and more. It is valuable reading for researchers from graduate students up who want to be acquainted with contemporary group theory.
Book Synopsis Proficient Presentations and Direct Products of Finite Groups by : Karl W. Gruenberg
Download or read book Proficient Presentations and Direct Products of Finite Groups written by Karl W. Gruenberg and published by . This book was released on 1999 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
