Finite Group Theory (cambridge Studies In Advanced Mathematics)
by M. Aschbacher /
2000 / English / PDF
9.3 MB Download
This second edition develops the foundations of finite group
theory. For students already exposed to a first course in algebra,
it serves as a text for a course on finite groups. For the reader
with some mathematical sophistication but limited knowledge of
finite group theory, the book supplies the basic background
necessary to begin to read journal articles in the field. It also
provides the specialist in finite group theory with a reference on
the foundations of the subject. Unifying themes include the
Classification Theorem and the classical linear groups. Lie theory
appears in chapters on Coxeter groups, root systems, buildings, and
Tits systems. This second edition has been considerably improved
with a completely rewritten Chapter 15 considering the 2-Signalizer
Functor Theorem, and the addition of an appendix containing
solutions to exercises.
This second edition develops the foundations of finite group
theory. For students already exposed to a first course in algebra,
it serves as a text for a course on finite groups. For the reader
with some mathematical sophistication but limited knowledge of
finite group theory, the book supplies the basic background
necessary to begin to read journal articles in the field. It also
provides the specialist in finite group theory with a reference on
the foundations of the subject. Unifying themes include the
Classification Theorem and the classical linear groups. Lie theory
appears in chapters on Coxeter groups, root systems, buildings, and
Tits systems. This second edition has been considerably improved
with a completely rewritten Chapter 15 considering the 2-Signalizer
Functor Theorem, and the addition of an appendix containing
solutions to exercises.
