1 “... of the symmetry group. With each application the author provides an introduction to the field in which relevant...”

2 Table of Contents: “... Subsets of R3 -- Finite Groups of Isometries -- The Platonic Solids -- Duality -- The Symmetry Groups...”

3 Table of Contents: “... -- Isometries of Euclidean space -- Classification of isometries -- Platonic solids -- Symmetry groups...”

4 Table of Contents: “... of the Real Line -- 1.4 Matters Arising -- 1.5 Symmetry Groups -- 2 Isometries of the Plane -- 2.1 Congruent...”

5 Table of Contents: “... -- 17.2 Finite Symmetry Groups on Space -- 17.3 Exercises -- Hints and Answers -- Notation Index...”

6 “..., an essential tool in the study of pseudo-Riemannian homogeneous spaces. Benefiting from large symmetry groups...”

7 “...Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests...”

8 “..., coding theory, symmetry groups, and number theory, their connection to combinatorics and optimization has...”