Structure Theory for Canonical Classes of Finite Groups / / by Wenbin Guo

• Record Nr.: UNINA9910299781403321
• Autore: Guo Wenbin
• Pubbl/distr/stampa: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2015
• ISBN: 3-662-45747-4
• Edizione: [1st ed. 2015.]
• Descrizione fisica: 1 online resource (369 p.)
• Disciplina: 510; 512.2
• Soggetti: Group theory; Group Theory and Generalizations
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: The 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 classes.
• Sommario/riassunto: This 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.