Errata to : SUBGROUPS
of the ISOMETRY GROUP of SPACE,
J. of Geom. &
Topo., 7(3),(07), 405-422.
James M. Parks
SUNY Potsdam
The following lemma replaces the lemma in the article in the title, p. 407. This corrects the arguments in Examples 1, 2, 4, and 5, where it is required that the subgroup Trans be normal in some subgroup S of Iso.
The proof follows by the same reasoning as used for the lemma being replaced.
Lemma. If a subgroup S of Iso contains the subgroup Trans, Trans < S < Iso, then Trans is normal in S, Trans < S.