دانلود کتاب Periodic Locally Compact Groups: A Study of a Class of Totally Disconnected Topological Groups

This authoritative book on periodic locally compact groups is divided into three parts: The first part covers the necessary background material on locally compact groups including the Chabauty topology on the space of closed subgroups of a locally compact group, its Sylow theory, and the introduction, classifi cation and use of inductively monothetic groups.The second part develops a general structure theory of locally compact near abelian groups, pointing out some of its connections with number theory and graph theory and illustrating it by a large exhibit of examples.Finally, the third part uses this theory for a complete, enlarged and novel presentation of Mukhin's pioneering work generalizing to locally compact groups Iwasawa's early investigations of the lattice of subgroups of abstract groups.ContentsPart I: Background information on locally compact groupsLocally compact spaces and groupsPeriodic locally compact groups and their Sylow theoryAbelian periodic groupsScalar automorphisms and the mastergraphInductively monothetic groupsPart II: Near abelian groupsThe definition of near abelian groupsImportant consequences of the definitionsTrivial near abelian groupsThe class of near abelian groupsThe Sylow structure of periodic nontrivial near abelian groups and their prime graphsA list of examplesPart III: ApplicationsClassifying topologically quasihamiltonian groupsLocally compact groups with a modular subgroup latticeStrongly topologically quasihamiltonian groups