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

Book

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

Edited by: Paul Baginski , Benjamin Fine , Anja Moldenhauer , Gerhard Rosenberger and Vladimir Shpilrain

Language: English

Published/Copyright: 2020

Published by

Become an author with De Gruyter Brill

Explore this Subject How to publish with us

This book is in the series

De Gruyter Proceedings in Mathematics

About this book

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.

A selection of up-to-date contributions in group theory and its relations with logic and cryptography
Includes works by well-known experts in the field
Of interest to mathematicians working in group theory and related areas

Author / Editor information

P. Baginski and B. Fine, Fairfield U., USA; A. Moldenhauer and G. Rosenberger, U. Hamburg, Germany; V. Shpilrain, CUNY, USA.

Topics

Frontmatter Publicly Available Download PDF	I
Introduction Publicly Available Download PDF	V
Conference booklet and talks Publicly Available Download PDF	VII
Remembrances of Gilbert Publicly Available Download PDF	XI
Contents Publicly Available Download PDF	XXIX
Explicit universal axioms for Kaplansky groups Sergey Bakulin and Alexei Miasnikov Requires Authentication Unlicensed Licensed	1
Isoperimetric and isodiametric functions of group extensions Gilbert Baumslag, Martin R. Bridson and Charles F. Miller Requires Authentication Unlicensed Licensed	7
The homology of groups, profinite completions, and echoes of Gilbert Baumslag Martin R. Bridson Requires Authentication Unlicensed Licensed	11
Some properties of the Baumslag groups G(m, n) Anthony E. Clement Requires Authentication Unlicensed Licensed	29
Some model theory of the Heisenberg group: I. Unitriangular representations of models of a subtheory of its universal theory Anthony M. Gaglione and Dennis Spellman Requires Authentication Unlicensed Licensed	33
Some model theory of the Heisenberg group: II. The three generator case Anthony M. Gaglione and Dennis Spellman Requires Authentication Unlicensed Licensed	47
On vector-valued Hecke forms Benjamin Fine, Anja I. S. Moldenhauer and Gerhard Rosenberger Requires Authentication Unlicensed Licensed	53
Two algorithms in group theory Rita Gitik Requires Authentication Unlicensed Licensed	73
On products of closed subsets in free groups Rita Gitik and Eliyahu Rips Requires Authentication Unlicensed Licensed	81
Misbehaved direct products Ron Hirshon Requires Authentication Unlicensed Licensed	85
A survey on Albert algebras and groups of type F₄ Neha Hooda Requires Authentication Unlicensed Licensed	89
Perspectives on p-ary bent functions David Joyner and Caroline Melles Requires Authentication Unlicensed Licensed	103
Multilinear cryptography using nilpotent groups Delaram Kahrobaei, Antonio Tortora and Maria Tota Requires Authentication Unlicensed Licensed	127
Musings on generic-case complexity Ilya Kapovich Requires Authentication Unlicensed Licensed	135
Noncommutative Gebauer–Möller criteria Martin Kreuzer and Xingqiang Xiu Requires Authentication Unlicensed Licensed	149
On the numbers of the form x² + 11y² Martin Kreuzer and Gerhard Rosenberger Requires Authentication Unlicensed Licensed	177
Separability properties of nilpotent ℚ[x]-powered groups Stephen Majewicz and Marcos Zyman Requires Authentication Unlicensed Licensed	203
Infinite nested radicals Barry B. Mittag Requires Authentication Unlicensed Licensed	219
Commutative transitivity property in groups and Lie algebras Mohammad Reza R. Moghaddam, Gerhard Rosenberger and Mohammad Amin Rostamyari Requires Authentication Unlicensed Licensed	225
Simplicial subdivisions and the chromatic number of a group Leonard Wienke Requires Authentication Unlicensed Licensed	233

Publishing information

Pages and Images/Illustrations in book

eBook published on:

February 10, 2020

eBook ISBN:

9783110638387

Hardcover published on:

February 10, 2020

Hardcover ISBN:

9783110636734

Pages and Images/Illustrations in book

Front matter:

30

Main content:

242

Illustrations:

15

https://doi.org/10.1515/9783110638387

eBook ISBN: 9783110638387

Hardcover ISBN: 9783110636734

Keywords for this book

Gruppentheorie; Kryptologie; Logik

Audience(s) for this book

Researchers and graduate students in group theory and algebra.

Safety & product resources

Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com

Elementary Theory of Groups and Group Rings, and Related Topics

Overview

About this book

Author / Editor information

Topics

Table of contents

Bibliographic data