From groups to geometry and back / Vaughn Climenhaga, Anatole Katok.

Author: Climenhaga, Vaughn, 1982-

Imprint:[United States] : American Mathematical Society, [2017]

Descriptionxix, 420 pages : illustrations ; 22 cm.

Note:"Mathematics Advanced Study Semesters"--Title page.

Note:Elements of group theory -- Symmetry in the Euclidean world: Groups of isometries of planar and spatial objects -- Groups of matrices: Linear algebra and symmetry in various geometries -- Fundamental group: A different kind of group associated to geometric objects -- From groups to geometric objects and back -- Groups at large scale -- Hints to selected exercises -- Suggestions for projects and further reading -- Bibliography -- Index.

Bibliography Note:Includes bibliographical references and index.

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