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OverviewThis book offers a systematic introduction to recent achievements and development in research on the structure of finite non-simple groups, the theory of classes of groups and their applications. In particular, the related systematic theories are considered and some new approaches and research methods are described – e.g., the F-hypercenter of groups, X-permutable subgroups, subgroup functors, generalized supplementary subgroups, quasi-F-group, and F-cohypercenter for Fitting classes. At the end of each chapter, we provide relevant supplementary information and introduce readers to selected open problems. Full Product DetailsAuthor: Wenbin GuoPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: Softcover reprint of the original 1st ed. 2015 Dimensions: Width: 15.50cm , Height: 2.00cm , Length: 23.50cm Weight: 5.679kg ISBN: 9783662516225ISBN 10: 3662516225 Pages: 359 Publication Date: 18 October 2016 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand We will order this item for you from a manufactured on demand supplier. Table of ContentsThe F-hypercentre and its generalizations.- Groups with given systems of X-permutable subgroups.- Between complement and supplement.- Groups with given maximal chains of subgroups.- Formations and Fitting classesReviewsThe interested reader of this book is the specialist of general structure theory of groups, who will find a great number of results easily accessible in a unified presentation ready for deeper study, so far accessible only scattered in original research papers. ... The author boldly undertook and has successfully completed the task of presenting the diversified research methods and results, combining the application oriented approach with inviting exposition and pertinent examples. (Janos Kurdics, zbMATH 1343.20021, 2016) The book under review aims to be a continuation of these references and to analyze, systematize and report about subsequent developments in the theory of finite groups. ... A section at the end of each chapter includes additional related information and open problems. ... The book is addressed to people familiar with the theory of classes of groups and certainly of interest for researchers in this area of research. (M. Dolores Perez-Ramos, Mathematical Reviews, June, 2016) The interested reader of this book is the specialist of general structure theory of groups, who will find a great number of results easily accessible in a unified presentation ready for deeper study, so far accessible only scattered in original research papers. ... The author boldly undertook and has successfully completed the task of presenting the diversified research methods and results, combining the application oriented approach with inviting exposition and pertinent examples. (Janos Kurdics, zbMATH 1343.20021, 2016) The book under review aims to be a continuation of these references and to analyze, systematize and report about subsequent developments in the theory of finite groups. ... A section at the end of each chapter includes additional related information and open problems. ... The book is addressed to people familiar with the theory of classes of groups and certainly of interest for researchers in this area of research. (M. Dolores Perez-Ramos, Mathematical Reviews, June, 2016) The interested reader of this book is the specialist of general structure theory of groups, who will find a great number of results easily accessible in a unified presentation ready for deeper study, so far accessible only scattered in original research papers. ... The author boldly undertook and has successfully completed the task of presenting the diversified research methods and results, combining the application oriented approach with inviting exposition and pertinent examples. (Janos Kurdics, zbMATH 1343.20021, 2016) Author InformationTab Content 6Author Website:Countries AvailableAll regions |