Infinite Group Theory: From The Past To The Future
Infinite Group Theory: From The Past To The Future
by Paul Baginski and Benjamin Fine
English | 2017 | ISBN: 9813204044 | 258 Pages | PDF | 3 MB
by Paul Baginski and Benjamin Fine
English | 2017 | ISBN: 9813204044 | 258 Pages | PDF | 3 MB
The development of algebraic geometry over groups, geometric group theory and group-based cryptography, has led to there being a tremendous recent interest in infinite group theory. This volume presents a good collection of papers detailing areas of current interest.
Contents:
Introduction
1. Groups With the Weak Minimal Condition on Non-Permutable Subgroups
2. A Survey: Shamir Threshold Scheme and Its Enhancements
3. The Zappa-Szep Product of Left-Orderable Groups
4. Totally Disconnected Groups From Baumslag-Solitar Groups
5. Elementary and Universal Theories of Nonabelian Commutative Transitive and CSA Groups
6. Commutative Transitivity and the CSA Property
7. The Universal Theory of Free Burnside Groups of Large Prime Exponent
8. Primitive Curve Lengths on Pairs of Pants
9. Drawing Inferences Under Maximum Entropy From Relational Probabilistic Knowledge Using Group Theory
10. On Some Infinite-Dimensional Linear Groups and the Structure of Related Modules
11. On New Analogs of Some Classical Group Theoretical Results in Lie Rings
12. Log-Space Complexity of the Conjugacy Problem in Wreath Products
13. Group Presentations, Cayley Graphs and Markov Processes