LEADER 04393nam 2200661Ia 450 001 9910455500303321 005 20200520144314.0 010 $a981-279-341-0 035 $a(CKB)1000000000765761 035 $a(EBL)1193120 035 $a(SSID)ssj0000517179 035 $a(PQKBManifestationID)12180676 035 $a(PQKBTitleCode)TC0000517179 035 $a(PQKBWorkID)10477980 035 $a(PQKB)10101522 035 $a(MiAaPQ)EBC1193120 035 $a(WSP)00002146 035 $a(Au-PeEL)EBL1193120 035 $a(CaPaEBR)ebr10688074 035 $a(CaONFJC)MIL498420 035 $a(OCoLC)851970705 035 $a(EXLCZ)991000000000765761 100 $a20091116d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aAspects of infinite groups$b[electronic resource] $ea festschrift in honor of Anthony Gaglione /$feditors Benjamin Fine, Gerhard Rosenberger, Dennis Spellman 210 $aHackensack, N.J. $cWorld Scientific$dc2008 215 $a1 online resource (253 p.) 225 1 $aAlgebra and discrete mathematics,$x1793-5873 ;$vv. 1 300 $aDescription based upon print version of record. 311 $a981-279-340-2 320 $aIncludes bibliographical references. 327 $a6. 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; References 327 $aThe 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 types 327 $a4.3. 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. References 327 $aGroups Universally Equivalent to Free Burnside Groups of Prime Exponent and a Question of Philip Hall A. Gaglione, S. Lipschutz and D. Spellman 330 $aThis book is a festschrift in honor of Professor Anthony Gaglione's sixtieth birthday. This volume presents an excellent mix of research and expository articles on various aspects of infinite group theory. The papers give a broad overview of present research in infinite group theory in general, and combinatorial group theory and non-Abelian group-based cryptography in particular. They also pinpoint the interactions between combinatorial group theory and mathematical logic, especially model theory. 410 0$aAlgebra and discrete mathematics (World Scientific (Firm)) ;$vv. 1. 606 $aInfinite groups 606 $aRepresentations of groups 608 $aElectronic books. 615 0$aInfinite groups. 615 0$aRepresentations of groups. 676 $a512.2 701 $aGaglione$b Anthony M$060309 701 $aFine$b Benjamin$f1948-$056763 701 $aRosenberger$b Gerhard$066084 701 $aSpellman$b Dennis$f1945-$0978596 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910455500303321 996 $aAspects of infinite groups$92230470 997 $aUNINA