Skip to main content
\(\newcommand{\identity}{\mathrm{id}} \newcommand{\notdivide}{\nmid} \newcommand{\notsubset}{\not\subset} \newcommand{\lcm}{\operatorname{lcm}} \newcommand{\gf}{\operatorname{GF}} \newcommand{\inn}{\operatorname{Inn}} \newcommand{\aut}{\operatorname{Aut}} \newcommand{\Hom}{\operatorname{Hom}} \newcommand{\cis}{\operatorname{cis}} \newcommand{\chr}{\operatorname{char}} \newcommand{\Null}{\operatorname{Null}} \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&} \)

Section12.4References and Suggested Readings

Coxeter, H. M. and Moser, W. O. J. Generators and Relations for Discrete Groups, 3rd ed. Springer-Verlag, New York, 1972.
Grove, L. C. and Benson, C. T. Finite Reflection Groups. 2nd ed. Springer-Verlag, New York, 1985.
Hiller, H. “Crystallography and Cohomology of Groups,” American Mathematical Monthly 93 (1986), 765–79.
Lockwood, E. H. and Macmillan, R. H. Geometric Symmetry. Cambridge University Press, Cambridge, 1978.
Mackiw, G. Applications of Abstract Algebra. Wiley, New York, 1985.
Martin, G. Transformation Groups: An Introduction to Symmetry. Springer-Verlag, New York, 1982.
Milnor, J. “Hilbert's Problem 18: On Crystallographic Groups, Fundamental Domains, and Sphere Packing,” t Proceedings of Symposia in Pure Mathematics 18, American Mathematical Society, 1976.
Phillips, F. C. An Introduction to Crystallography. 4th ed. Wiley, New York, 1971.
Rose, B. I. and Stafford, R. D. “An Elementary Course in Mathematical Symmetry,” American Mathematical Monthly 88 (1980), 54–64.
Schattschneider, D. “The Plane Symmetry Groups: Their Recognition and Their Notation,” American Mathematical Monthly 85(1978), 439–50.
Schwarzenberger, R. L. “The 17 Plane Symmetry Groups,” Mathematical Gazette 58(1974), 123–31.
Weyl, H. Symmetry. Princeton University Press, Princeton, NJ, 1952.