ENGLISH

Groups and Symmetry

By Mark Anthony Armstrong

Book information

Publisher
Springer
Year
1988
ISBN
978-1-4419-3085-9
DOI
10.1007/978-1-4757-4034-9
Language
english
Format
PDF
Filesize
13 MB (13493015 bytes)
Series
Undergraduate texts in mathematics
Edition
1
Pages
197\197
Time added
2016-01-22 00:30:07
Group Theory and Generalizations

Description

Groups are important because they measure symmetry. This text, designed for undergraduate mathematics students, provides a gentle introduction to the highlights of elementary group theory. Written in an informal style, the material is divided into short sections each of which deals with an important result or a new idea. Throughout the book, the emphasis is placed on concrete examples, many of them geometrical in nature, so that finite rotation groups and the seventeen wallpaper groups are treated in detail alongside theoretical results such as Lagrange's theorem, the Sylow theorems, and the classification theorem for finitely generated abelian groups. A novel feature at this level is a proof of the Nielsen-Schreier theorem, using group actions on trees. There are more than three hundred exercises and approximately sixty illustrations to help develop the student's intuition.

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