论文信息 - Comment on a paper by Tahara on the finite subgroups of $GL(3,Z)$

Comment on a paper by Tahara on the finite subgroups of $GL(3,Z)$

Tahara [1] has concretely determined the conjugate classes of finite subgroups of GL (3, Z ). The group W 5 in his list of groups of order 24 is in fact of order 12 and consists of the same matrices as the group W 6 in his list of groups order 12. Hence, there are only 10 conjugate classes of subgroups of order 24 in GL (3, Z ) and the total number of conjugate classes of finite subgroups is reduced to 73.

H. Grimmer | E. Ascher | E. Ascher | H. Grimmer

[1] Hans Zassenhaus,et al. Über einen Algorithmus zur Bestimmung der Raumgruppen , 1948 .

[2] K. Tahara,et al. On the Finite Subgroups of GL (3, Z) , 1971, Nagoya Mathematical Journal.

[3] H. Wondratschek,et al. On crystallography in higher dimensions. III. Results in R4 , 1971 .