Geometries and groups. Transl. from the Russian by M. Reid

zbMath0621.51001MaRDI QIDQ1089911

I. R. Shafarevich, Viacheslav V. Nikulin

Publication date: 1987

Published in: Universitext (Search for Journal in Brave)

zbMATH Keywords

Euclidean spacetorusmodular groupEuclidean planehyperbolic planeKlein bottlecrystallographic groupsspace formsorbit spacesMoebius stripLobachevskian geometrycylindric surfacediscontinuous isometry groups

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Lattices and convex bodies (number-theoretic aspects) (11H06) Other geometric groups, including crystallographic groups (20H15) Discontinuous groups of transformations (57S30) Euclidean geometries (general) and generalizations (51M05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory (20-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to geometry (51-01)

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