04360nam 2200649Ia 450 991077794970332120230721021731.0981-279-341-0(CKB)1000000000765761(EBL)1193120(SSID)ssj0000517179(PQKBManifestationID)12180676(PQKBTitleCode)TC0000517179(PQKBWorkID)10477980(PQKB)10101522(MiAaPQ)EBC1193120(WSP)00002146(Au-PeEL)EBL1193120(CaPaEBR)ebr10688074(CaONFJC)MIL498420(OCoLC)851970705(EXLCZ)99100000000076576120091116d2008 uy 0engur|n|---|||||txtccrAspects of infinite groups[electronic resource] a festschrift in honor of Anthony Gaglione /editors Benjamin Fine, Gerhard Rosenberger, Dennis SpellmanHackensack, N.J. World Scientificc20081 online resource (253 p.)Algebra and discrete mathematics,1793-5873 ;v. 1Description based upon print version of record.981-279-340-2 Includes bibliographical references.6. Formal Power Series Rings and the Magnus Representation7. Relations on the Variables; 8. References; On the Derived Subgroups of the Free Nilpotent Groups of Finite Rank R. D. Blyth, P. Moravec and R. F. Morse; 1. Introduction; 2. The Derived Subgroup of a Free Nilpotent Group; 3. Application; Acknowledgements; References; A Recurrence Relation for the Number of Free Subgroups in Free Products of Cyclic Groups T. Camps, M. Darfer and G. Rosenberger; 1. Introduction; 2. Preliminaries; 3. The Main Results; 4. Examples; ReferencesThe Baumslag-Solitar Groups: A Solution for the Isomorphism Problem A. E. Clement1. Introduction; 2. Notation; 3. The proof of Theorem 1.1; Acknowledgments; References; Unification Theorems in Algebraic Geometry E. Daniyarova, A. Myasnikov and V. Remeslennikov; CONTENTS; 1. Introduction; 2. Preliminaries; 2.1. Languages and structures; 2.2. Theories; 3. Algebras; 3.1. Congruences; 3.2. Quasivarieties; 3.3. Universal closures; 3.4. A-Algebras; 4. Types, Zariski topology, and coordinate algebras; 4.1. Quantifier-free types and Zariski topology; 4.2. Coordinate algebras and complete types4.3. Equationally Noetherian algebras5. Limit algebras; 5.1. Direct systems of formulas and limit algebras; 5.2. Limit A-algebras; 6. Unification Theorems; References; Reflections on Commutative Transitivity B. Fine and G. Rosenberger; 1. Introduction; 2. Commutative Transitivity and Commutative Transitive Groups; 3. Commutative Transitivity, CSA and Universally Free Groups; 4. The Commutative Transitive Kernel; 5. RG Groups and a Classification of One-Relator CT Groups; 6. Commutative Transitivity and Discriminating Groups; 7. An Extension of Commutative Thansitivity; 8. ReferencesGroups Universally Equivalent to Free Burnside Groups of Prime Exponent and a Question of Philip Hall A. Gaglione, S. Lipschutz and D. SpellmanThis book is a festschrift in honor of Professor Anthony Gaglione's sixtieth birthday. This volume presents an excellent mix of research and expository articles on various aspects of infinite group theory. The papers give a broad overview of present research in infinite group theory in general, and combinatorial group theory and non-Abelian group-based cryptography in particular. They also pinpoint the interactions between combinatorial group theory and mathematical logic, especially model theory.Algebra and discrete mathematics (World Scientific (Firm)) ;v. 1.Infinite groupsRepresentations of groupsInfinite groups.Representations of groups.512.2Gaglione Anthony M60309Fine Benjamin1948-56763Rosenberger Gerhard66084Spellman Dennis1945-1548672MiAaPQMiAaPQMiAaPQBOOK9910777949703321Aspects of infinite groups3805867UNINA