### Some articles on *translation group, group, translation*:

Point Groups In Two Dimensions - Combinations With Translational Symmetry

... E(2) is a semidirect product of O(2) and the

... E(2) is a semidirect product of O(2) and the

**translation group**T ... In other words O(2) is a subgroup of E(2) isomorphic to the quotient**group**of E(2) by T O(2) E(2) / T There is a "natural" surjective**group**homomorphism p E(2) → E(2 ... For every subgroup of E(2) we can consider its image under p a point**group**consisting of the cosets to which the elements of the subgroup belong, in ...Glide Plane - Formal Treatment

... space the combination of a reflection in a plane and a

... space the combination of a reflection in a plane and a

**translation**in that plane ... Depending on context, we may consider a reflection a special case, where the**translation**vector is the zero vector ... The combination of a reflection in a plane and a**translation**in a perpendicular direction is a reflection in a parallel plane ...Glide Reflection

... of isometry of the Euclidean plane the combination of a reflection in a line and a

... of isometry of the Euclidean plane the combination of a reflection in a line and a

**translation**along that line ... Depending on context, we may consider a reflection a special case, where the**translation**vector is the zero vector ... is an isometry consisting of the reflection on the x-axis, followed by**translation**of one unit parallel to it ...Teleparallelism - New Translation Teleparallel Gauge Theory of Gravity

... started to formulate the gauge theory of the space-time

... started to formulate the gauge theory of the space-time

**translation group**... Hayashi pointed out the connection between the gauge theory of space-time**translation group**and absolute parallelism ... fully represented by the translational gauge potential, as it should be for a gauge theory for the**translation group**...### Famous quotes containing the words group and/or translation:

“Caprice, independence and rebellion, which are opposed to the social order, are essential to the good health of an ethnic *group*. We shall measure the good health of this *group* by the number of its delinquents. Nothing is more immobilizing than the spirit of deference.”

—Jean Dubuffet (1901–1985)

“Any *translation* which intends to perform a transmitting function cannot transmit anything but information—hence, something inessential. This is the hallmark of bad translations.”

—Walter Benjamin (1892–1940)