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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
The scope of this book is to present in a systematic and unified
manner the ray method (in its various forms) for studying nonlinear
wave propagation in situations of physical interest (essentially
fluid dynamics and plasma physics). The book could be used for an
advanced graduate course on nonlinear waves. It should also be of
interest to applied mathematicians, physicists and engineers,
working in areas related to nonlinear waves.
Presents in a systematic and unified manner the ray method, in its
various forms, for studying nonlinear wave propagation in
situations of physical interest, essentially fluid dynamics and
plasma physics.
Anagnorisis, or recognition, has played a central role in the arts
and humanities throughout history. It is a universal mode of
knowledge in literature and the arts; in sacred texts and
scholastic writing; in philosophy; in psychology; in politics and
social theory. Recognition is a phenomenon and a fulcrum that makes
these discourses possible. To date, no one has attempted a
comprehensive discussion of recognition across disciplines, places,
and historical periods. Recognition and Modes of Knowledge is the
culmination of an interdisciplinary conference on recognition with
contributions from international authorities, including Piero
Boitani, Roland Le Huenen, Rachel Adelman, and Christina
Tarnopolsky. Students and experts in the humanities who desire a
rich grounding in the concept of recognition should start with this
book.
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