Periodic Locally Compact Groups: A Study of a Class of Totally Disconnected Topological Groups Contributor(s): Herfort, Wolfgang (Author), Hofmann, Karl H. (Author), Russo, Francesco G. (Author) |
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ISBN: 3110598477 ISBN-13: 9783110598476 Publisher: de Gruyter OUR PRICE: $145.34 Product Type: Hardcover - Other Formats Published: November 2018 |
Additional Information |
BISAC Categories: - Mathematics | Group Theory - Mathematics | Algebra - Abstract |
Series: de Gruyter Studies in Mathematics |
Physical Information: 0.81" H x 6.69" W x 9.61" (1.69 lbs) 354 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. Contents |
Contributor Bio(s): Herfort, Wolfgang: - Wolfgang Herfort, TU Wien, Austria; Karl H. Hofmann, TU Darmstadt, Germany; Francesco G. Russo, University of Cape Town, South Africa. |