Description:
With Holder's program used throughout for the classification of finite groups, this volume covers the key topics, including abelian, nilpotent and solvable groups, linear representations and cohomology. Group actions and the word problem are also considered.
Review Quotes:
From the reviews:
"The book under review is appropriate for a student with at least one prior course in group theory. ... Each chapter contains copious exercises, and answers to many of these exercises are provided at the end of the book. It is clear that the author wants the reader to see many interesting and important examples as soon as possible. This is one of the greatest strengths of the book nearly every section has several well-chosen illustrations of the theory." (Adam Glesser, Mathematical Reviews, December, 2013)
"Aimed at ... 'advanced undergraduate and graduate students in mathematics, physics and chemistry', it concentrates in 325 pages most of the important general techniques used in this field. ... The book is written in a concise, but elegant style and manages to give the readers an introduction to many topics missing in similar texts ... . In summary: this is a very good text, that matches well the declared aims ... . It is also well suited as a reach and ... compact reference text." (Marian Deaconescu, Zentralblatt MATH, Vol. 1246, 2012)