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Full Description
This book is a blend of recent developments in theoretical and computational aspects of group theory. It presents the state-of-the-art research topics in different aspects of group theory, namely, character theory, representation theory, integral group rings, the Monster simple group, computational algorithms and methods on finite groups, finite loops, periodic groups, Camina groups and generalizations, automorphisms and non-abelian tensor product of groups. Presenting a collection of invited articles by some of the leading and highly active researchers in the theory of finite groups and their representations and the Monster group, with a focus on computational aspects, this book is of particular interest to researchers in the area of group theory and related fields of mathematics.
Contents
Chapter 1. On Right Conjugacy Closed Loops Of Twice Prime Order.- Chapter 2. Compatible Actions And Non-Abelian Tensor Products.- Chapter 3. On Zeros Of Characters Of Finite Groups.- Chapter 4. Properties Of Finite And Periodic Groups Determined By Their Elements Orders: A Survey.- Chapter 5. Calculating Subgroups With GAP.- Chapter 6. The future of Majorana theory.- Chapter 7. Finite Groups With Abelian Automorphism Groups: A Survey.- Chapter 8. Camina Groups, Camina Pairs, And Generalizations.- Chapter 9. The Upper Central Series Of The Unit Groups Of Integral Group Rings: A Survey.- Chapter 10. Character Tables And Sylow Subgroups Revisited.
