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Group Theory, Combinatorics, and Computing
Edited by: Robert Fitzgerald Morse, University of Evansville, IN, Daniela Nikolova-Popova, Florida Atlantic University, Boca Raton, FL, and Sarah Witherspoon, Texas A & M University, College Station, TX
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Contemporary Mathematics
2014; 187 pp; softcover
Volume: 611
ISBN-10: 0-8218-9435-8
ISBN-13: 978-0-8218-9435-4
List Price: US$78
Member Price: US$62.40
Order Code: CONM/611
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This volume contains the proceedings of the International Conference on Group Theory, Combinatorics and Computing held from October 3-8, 2012, in Boca Raton, Florida.

The papers cover a number of areas in group theory and combinatorics. Topics include finite simple groups, groups acting on structured sets, varieties of algebras, classification of groups generated by 3-state automata over a 2-letter alphabet, new methods for construction of codes and designs, groups with constraints on the derived subgroups of its subgroups, graphs related to conjugacy classes in groups, and lexicographical configurations. Application of computer algebra programs is incorporated in several of the papers.

This volume includes expository articles on finite coverings of loops, semigroups and groups, and on the application of algebraic structures in the theory of communications.

This volume is a valuable resource for researchers and graduate students working in group theory and combinatorics. The articles provide excellent examples of the interplay between the two areas.

Readership

Graduate students and research mathematicians interested in group theory, combinatorics, and computation.

Table of Contents

  • M. Bianchi, M. Herzog, and E. Pacifici -- On the regularity of a graph related to conjugacy classes of groups: Small valencies
  • R. Grigorchuk and D. Savchuk -- Self-similar groups acting essentially freely on the boundary of the binary rooted tree
  • C. Hering, A. Krebs, and T. Edgar -- Non-symmetric lexicographic configurations
  • T. Hurley -- Algebraic structures for communications
  • L.-C. Kappe -- Finite coverings: A journey through groups, loops, rings and semigroups
  • R. Laue -- Decompositions of Kramer-Mesner matrices
  • P. Longobardi, M. Maj, and D. J. S. Robinson -- Recent results on groups with few isomorphism classes of derived subgroups
  • J. Moori -- Designs and codes from \(PSL_2(q)\)
  • B. Plotkin -- Algebraic logic and logical geometry in arbitrary varieties of algebras
  • P. Spiga and A. Zalesski -- A uniform upper bound for the character degree sums and Gelfand-Graev-like characters for finite simple groups
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