This book brings together a collection of research articles by leading experts in group theory, alongside accessible survey papers highlighting recent developments in the field. The contributions provide a broad overview of the diverse themes, methods, and applications that characterize contemporary research in group theory.
The topics covered include combinatorial and geometric group theory, with attention to varieties, braces, twisted conjugacy classes, and sofic groups; the structural analysis of infinite groups, such as existentially closed groups; and the study of finite groups, encompassing p-groups and maximal subgroups, the generation of simple groups, permutation groups, representations of finite groups, and graphs associated with groups.
The work is addressed to researchers in the field.
The derangements subgroup in a finite permutation group and the
Frobenius-Wielandt theorem.- On id-artinian skew braces.- On
non-selfnormalizing subgroups.- Automorphisms and centralizers of subgroups
in -existentially closed groups.- Conditional Non-Soficity of p-adic Deligne
Extensions: on a Theorem of Gohla and Thom.- A classification of infinite
Schreier graphs of the generalized Basilica group.- Anti Boolean Conditions
for Sets of Subgroups.- On verbal subgroups of the group of automorphisms of
regular rooted trees.- On the structure of some finitely generated braces.-
Classifying finite groups G with three Aut(G)-orbits.- The R-property of
flat manifolds: Toward the eigenvalue one property of finite groups.- A lower
bound on the size of maximal abelian subgroups.- On some properties of the
rank graph of a finite group.- On twisted conjugacy classes in finite
groups.- Finite groups with large average order of elements.-
(2,3)-generators for the finite orthogonal groups of even dimension.- On
three generation methods for the simple linear group PSL(3, 7).-
Factorizations of groups and skew braces.- On induced modules over group
rings of soluble groups of finite rank.
Mariagrazia Bianchi is an associate professor of Algebra at University of Milan, Italy. Her research interests include finite group theory, graphs associated with groups, and character theory.
Andrea Caranti is an emeritus professor of Algebra at University of Trento, Italy. His research interests include group theory, finite p-groups; graded, modular Lie algebras; and skew braces. Costantino Delizia is a full professor of Algebra at University of Salerno, Italy. His research interests include finite and infinite group theory, combinatorial group theory, graphs associated with groups.
Patrizia Longobardi is a full professor of Algebra at University of Salerno, Italy. Her research interests include finite and infinite group theory and combinatorial group theory.
Mercede Maj is a full professor of Algebra at University of Salerno, Italy. Her research interests include finite and infinite group theory and combinatorial group theory.
Carmine Monetta is a researcher in Algebra at University of Salerno, Italy. His research interests include finite and infinite group theory, combinatorial group theory, graphs associated with groups, and group-based cryptography.
Marialaura Noce is a researcher in Algebra at University of Salerno, Italy. Her research interests include groups of automorphisms of trees, group-based cryptography, and combinatorial group theory.
Carlo Maria Scoppola is an emeritus professor of Algebra at University of L'Aquila, Italy. His research interests include group theory and representation theory.
