Introduction to discrete subgroups of the euclidean group

Question

I am looking for a general introduction to discrete subgroups of the euclidean group (= group of isometries in euclidean space).

Even though I searched quite a bit, I was unable to find a good introduction.

Any hints for which book or survey to look?

Answer 1

Perhaps the book by Conway, Burgiel, and Goodman-Strauss entitled "The symmetries of things". Although I have not looked at the book myself, I know Conway to be an entertaining author, and the table of contents seems to cover a wide range of topics regarding discrete subgroups of isometries of Euclidean spaces and of other spaces.

Answer 2

If you are interested in dimensions 2 and 3, consider reading "Geometries and Groups" by Nikulin and Shafarevich.

If you are interested in higher dimensional groups as well, Wolf's "Spaces of constant curvature," covers basics (and much more).