Infinite Group Theory is a collection of thirteen papers presented at a conference held on April 23–24, 2015 in honor of the 70th birthdays of two group theorists, Gerhard Rosenberger and Dennis Spellman. The papers show the developments in group theory over several decades, especially in Combinatorial Group Theory.
The topics covered are: groups with the weak-minimal condition of non-permutable subgroups, secret sharing, orderable groups, topological groups, model theory, commutative transitivity and the CSA property, free Burnside groups, discrete subgroups of PSL(2,C), probabilistic reasoning under the principle of maximum entropy (MaxEnt Principle), infinite dimensional linear groups, Lie rings, conjugacy problem in wreath products, group presentations and Cayley graphs.
These toipcs show the impact of group theory and the use of Combinatorial Group Theory in different areas. They can serve as potential research topics and offer a convincing reason for the study of group theory.
Charles Traina is Professor of Mathematics at St. John’s University in New York.