Infinite Group Theory

From the Past to the Future

Nonfiction, Science & Nature, Mathematics, Group Theory, Geometry
Cover of the book Infinite Group Theory by Paul Baginski, Benjamin Fine, Anthony M Gaglione, World Scientific Publishing Company
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Author: Paul Baginski, Benjamin Fine, Anthony M Gaglione ISBN: 9789813204065
Publisher: World Scientific Publishing Company Publication: December 26, 2017
Imprint: WSPC Language: English
Author: Paul Baginski, Benjamin Fine, Anthony M Gaglione
ISBN: 9789813204065
Publisher: World Scientific Publishing Company
Publication: December 26, 2017
Imprint: WSPC
Language: English

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:

  • Groups with the Weak Minimal Condition on Non-Permutable Subgroups (Laxmi K Chatuat and Martyn R Dixon)
  • A Survey: Shamir Threshold Scheme and Its Enhancements (Chi Sing Chum, Benjamin Fine, and Xiaowen Zhang)
  • The Zappa-Szep Product of Left-Orderable Groups (Fabienne Chouraqui)
  • Totally Disconnected Groups From Baumslag-Solitar Groups (Murray Elder and George Willis)
  • Elementary and Universal Theories of Nonabelian Commutative Transitive and CSA Groups (B Fine, A M Gaglione, and D Spellman)
  • Commutative Transitivity and the CSA Property (Benjamin Fine, Anthony Gaglione, Gerhard Rosenberger, and Dennis Spellman)
  • The Universal Theory of Free Burnside Groups of Large Prime Exponent (Anthony M Gaglione, Seymour Lipschutz, and Dennis Spellman)
  • Primitive Curve Lengths on Pairs of Pants (Jane Gilman)
  • Drawing Inferences Under Maximum Entropy From Relational Probabilistic Knowledge Using Group Theory (Gabriele Kern-Isberner, Marco Wilhelm, and Christoph Beierle)
  • On Some Infinite-Dimensional Linear Groups and the Structure of Related Modules (L A Kurdachenko and I Ya Subbotin)
  • On New Analogs of Some Classical Group Theoretical Results in Lie Rings (L A Kurdachenko, A A Pypka and I Ya Subbotin)
  • Log-Space Complexity of the Conjugacy Problem in Wreath Products (Alexei Myasnikov, Svetla Vassileva, and Armin Weiss)
  • Group Presentations, Cayley Graphs and Markov Processes (Peter Olszewski)

Readership: Graduate students and researchers in group theory.
Key Features:

  • This book is centered on infinite group theory from a combinatorial and geometric point of view. It also contains material on non-commutative algebraic group-based cryptography
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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:

Readership: Graduate students and researchers in group theory.
Key Features:

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