International
Tables for
Crystallography
Volume D
Physical properties of crystals
Edited by A. Authier

International Tables for Crystallography (2006). Vol. D. ch. 3.4, p. 476

Table 3.4.3.2 

V. Janoveca* and J. Přívratskáb

a Department of Physics, Technical University of Liberec, Hálkova 6, 461 17 Liberec 1, Czech Republic, and bDepartment of Mathematics and Didactics of Mathematics, Technical University of Liberec, Hálkova 6, 461 17 Liberec 1, Czech Republic
Correspondence e-mail:  janovec@fzu.cz

Table 3.4.3.2 | top | pdf |
Four types of domain pairs

[F_{1j}] [J_{1j}] [K_{1j}] Double coset Domain pair name symbol
[F_{1}=F_j ] [F_{1}\cup g_{1j}^{\star}F_1] [F_{1}\cup g_{1j}^{\star}F_1] [F_1g_{1j}F_1=g_{1j}F_1=(g_{1j}F_1)^{-1} ] [\underline{t}]ransposable [\underline{c} ]ompletely tc
[F_{1j}\subset F_1 ] [F_{1j}\cup g_{1j}^{\star}F_{1j} ] [F_{1}\cup g_{1j}^{\star}F_{1}\cup\,\ldots \, ] [F_1g_{1j}F_1=(F_1g_{1j}F_1)^{-1}] [\underline{t}]ransposable [\underline{p} ]artially tp
[F_{1}=F_j ] [F_{1} ] [F_{1}\cup g_{1j}F_{1}\cup g_{1j}^{-1}F_{1} ] [F_1g_{1j}F_1=g_{1j}F_1\cap (g_{1j}F_1)^{-1}=\emptyset ] [\underline{n}]on-transposable [\underline{s}]imple ns
[F_{1j}\subset F_1 ] [F_{1j} ] [F_{1}\cup g_{1j}F_{1}\cup (g_{1j}F_{1})^{-1}\cup\,\ldots ] [F_1g_{1j}F_1\cap (F_1g_{1j}F_1)^{-1}=\emptyset ] [\underline{n}]on-transposable [\underline{m}]ultiple nm