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 Part I:
Background information on locally compact groups Locally compact
spaces and groups Periodic locally compact groups and their Sylow
theory Abelian periodic groups Scalar automorphisms and the
mastergraph Inductively monothetic groups Part II: Near abelian
groups The definition of near abelian groups Important consequences
of the definitions Trivial near abelian groups The class of near
abelian groups The Sylow structure of periodic nontrivial near
abelian groups and their prime graphs A list of examples Part III:
Applications Classifying topologically quasihamiltonian groups
Locally compact groups with a modular subgroup lattice Strongly
topologically quasihamiltonian groups
General
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