Abstract: | Suppose that G is an infinite group generated by obliquereflections with respect to hyperplanes in the real spaceE
m and that theµ
j-planes IIµj = IIdj II j (j =
G(u) -orbits of directions of symmetryu (hyperplanes of symmetry conjugate to vectors IIdj pass through
j-planesII
j). A complete solution of the problem of the mutual position of three II j is given. Systems of generatrices of the rings of invariants of a series of groups G are found.Translated from Ukrainskii Geometricheskii Sbornik, No. 34, pp. 42–51, 1991. |