JP Journal of Geometry and Topology
Volume 7, Issue 3, Pages 405 - 422
(November 2007)
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SUBGROUPS OF THE GROUP OF ISOMETRIES OF THE PLANE
James M. Parks (U.S.A.)
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Abstract:
This is a study of several subgroups of Iso, the group of all isometries of the plane. These subgroups are generated by combinations of selected types of isometries. Almost all of the resulting subgroups so determined are semidirect products of known groups. Topological representations of these subgroups in a pair of open solid tori which represent the group Iso as an affine space are included for a more complete understanding of these subgroups and of Iso itself. |
| Keywords and phrases: isometries, group of isometries of the plane, subgroups of isometries, semidirect products of groups, affine groups. |
| Communicated by Yasuo Matsushita |
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