Arithmetic groups are generalisations, to the setting of algebraic
groups over a global field, of the subgroups of finite index in the
general linear group with entries in the ring of integers of an
algebraic number field. They are rich, diverse structures and they
arise in many areas of study. This text enables you to build a
solid, rigorous foundation in the subject. It first develops
essential geometric and number theoretical components to the
investigations of arithmetic groups, and then examines a number of
different themes, including reduction theory, (semi)-stable
lattices, arithmetic groups in forms of the special linear group,
unipotent groups and tori, and reduction theory for adelic coset
spaces. Also included is a thorough treatment of the construction
of geometric cycles in arithmetically defined locally symmetric
spaces, and some associated cohomological questions. Written by a
renowned expert, this book is a valuable reference for researchers
and graduate students.
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