Full Description
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.
Contents
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 κ-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.
