**Contemporary Mathematics**

Volume: 611;
2014;
187 pp;
Softcover

MSC: Primary 05; 08; 20; 51; 94;

Print ISBN: 978-0-8218-9435-4

Product Code: CONM/611

List Price: $78.00

AMS Member Price: $62.40

MAA member Price: $70.20

**Electronic ISBN: 978-1-4704-1524-2
Product Code: CONM/611.E**

List Price: $78.00

AMS Member Price: $62.40

MAA member Price: $70.20

# Group Theory, Combinatorics, and Computing

Share this page *Edited by *
*Robert Fitzgerald Morse; Daniela Nikolova-Popova; Sarah Witherspoon*

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

## Group Theory, Combinatorics, and Computing

- Preface vii8 free
- List of Lectures ix10 free
- On the regularity of a graph related to conjugacy classes of groups: Small valencies 114 free
- Self-similar groups acting essentially freely on the boundary of the binary rooted tree 922
- Non-symmetric lexicographic configurations 4962
- Algebraic structures for communications 5972
- Finite coverings: A journey through groups, loops, rings and semigroups 7992
- Decompositions of Kramer-Mesner matrices 89102
- Recent results on groups with few isomorphism classes of derived subgroups 121134
- Designs and codes from 𝑃𝑆𝐿₂(𝑞) 137150
- Algebraic logic and logical geometry in arbitrary varieties of algebras 151164
- A uniform upper bound for the character degree sums and Gelfand-Graev-like characters for finite simple groups 169182
- 1. Introduction 169182
- 2. Preliminaries 172185
- 3. Character degree sum for symmetric and alternating groups 173186
- 4. Exceptional groups of Lie type 174187
- 5. Linear groups 176189
- 6. Unitary groups 178191
- 7. Odd dimensional orthogonal groups 180193
- 8. A uniform bound 181194
- 9. The remaining classical groups and the proof of Theorem 1.3 184197
- References 186199