Elementary Theory of Groups and Group Rings, and Related Topics : : Proceedings of the Conference held at Fairfield University and at the Graduate Center, CUNY, November 1-2, 2018 / / ed. by Paul Baginski, Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Vladimir Shpilrain.

• Superior document: Title is part of eBook package: De Gruyter DG Ebook Package English 2020
• HerausgeberIn: Baginski, Paul,; Fine, Benjamin,; Moldenhauer, Anja,; Rosenberger, Gerhard,; Shpilrain, Vladimir,
• MitwirkendeR: Bakulin, Sergey,; Baumslag, Gilbert,; Bridson, Martin R.,; Clement, Anthony E.,; Fine, Benjamin,; Gaglione, Anthony M.,; Gitik, Rita,; Hirshon, Ron,; Hooda, Neha,; Joyner, David,; Kahrobaei, Delaram,; Kapovich, Ilya,; Kreuzer, Martin,; Majewicz, Stephen,; Melles, Caroline,; Miasnikov, Alexei,; Miller, Charles F.,; Mittag, Barry B.,; Moghaddam, Mohammad Reza R.,; Moldenhauer, Anja I. S.,; Rips, Eliyahu,; Rosenberger, Gerhard,; Rostamyari, Mohammad Amin,; Spellman, Dennis,; Tortora, Antonio,; Tota, Maria,; Wienke, Leonard,; Xiu, Xingqiang,; Zyman, Marcos,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2020]; ©2020
• Year of Publication: 2020
• Language: English
• Series: De Gruyter Proceedings in Mathematics
• Physical Description: 1 online resource (XXX, 242 p.)

This proceedings volume documents the contributions presented at the conference held at Fairfield University and at the Graduate Center, CUNY in 2018 celebrating the New York Group Theory Seminar, in memoriam Gilbert Baumslag, and to honor Benjamin Fine and Anthony Gaglione. It includes several expert contributions by leading figures in the group theory community and provides a valuable source of information on recent research developments.

Table of Contents

Frontmatter -- Introduction -- Conference booklet and talks -- Remembrances of Gilbert -- Contents -- Explicit universal axioms for Kaplansky groups -- Isoperimetric and isodiametric functions of group extensions -- The homology of groups, profinite completions, and echoes of Gilbert Baumslag -- Some properties of the Baumslag groups G(m, n) -- Some model theory of the Heisenberg group: I. Unitriangular representations of models of a subtheory of its universal theory -- Some model theory of the Heisenberg group: II. The three generator case -- On vector-valued Hecke forms -- Two algorithms in group theory -- On products of closed subsets in free groups -- Misbehaved direct products -- A survey on Albert algebras and groups of type F4 -- Perspectives on p-ary bent functions -- Multilinear cryptography using nilpotent groups -- Musings on generic-case complexity -- Noncommutative Gebauer–Möller criteria -- On the numbers of the form x2 + 11y2 -- Separability properties of nilpotent ℚ[x]-powered groups -- Infinite nested radicals -- Commutative transitivity property in groups and Lie algebras -- Simplicial subdivisions and the chromatic number of a group