Groups and symmetry / by M.A. Armstrong.

By: Armstrong, M. A. (Mark Anthony)Material type: TextTextSeries: Undergraduate texts in mathematicsPublication details: New York : Springer, ©2010Description: xi, 186 pages : illustrations ; 24 cmISBN: 9781441930859 (pbk)Subject(s): Group theory | Symmetry groupsDDC classification: 512.2
Contents:
Symmetries of the tetrahedron -- Axioms -- Numbers -- Dihedral groups -- Subgroups and generators -- Permutations -- Isomorphisms -- Plato's solids and Cayley's theorem -- Matrix groups -- Products -- Lagrange's theorem -- Partitions -- Cauchy's theorem -- Conjugacy -- Quotient groups -- Homomorphisms -- Actions, orbits, and stabilizers -- Counting orbits -- Finite rotation groups -- The Sylow theorems -- Finitely generated abelian groups -- Row and column operations -- Automorphisms -- The Euclidean group -- Lattices and point groups -- Wallpaper patterns -- Free groups and presentations -- Trees and the Nielsen-Schreier theorem.
Summary: This is a gentle introduction to the vocabulary and many of 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. Includes more than 300 exercises and approximately 60 illustrations.
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Holdings
Item type Current library Call number Copy number Status Date due Barcode Item holds
Books Books Namal Library
Mathematics
512.2 ARM-G 2010 10610 (Browse shelf (Opens below)) 1 Available 0010610
Total holds: 0

Originally published: 1988.

Includes bibliographical references and index.

Symmetries of the tetrahedron --
Axioms --
Numbers --
Dihedral groups --
Subgroups and generators --
Permutations --
Isomorphisms --
Plato's solids and Cayley's theorem --
Matrix groups --
Products --
Lagrange's theorem --
Partitions --
Cauchy's theorem --
Conjugacy --
Quotient groups --
Homomorphisms --
Actions, orbits, and stabilizers --
Counting orbits --
Finite rotation groups --
The Sylow theorems --
Finitely generated abelian groups --
Row and column operations --
Automorphisms --
The Euclidean group --
Lattices and point groups --
Wallpaper patterns --
Free groups and presentations --
Trees and the Nielsen-Schreier theorem.

This is a gentle introduction to the vocabulary and many of 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. Includes more than 300 exercises and approximately 60 illustrations.

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