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
