transitively

Also used transitively to indicate the cause of the trap.

That is to say, the general linear group acts transitively on the set of all complete flags.

The important fact to note above is that the unitary group acts transitively on pure states.

Let G act transitively on X and pick some point .

The spin group acts transitively on S by rotations.

To use lie transitively to mean lay (lie her on the bed) is incorrect.

One is the subgroup fixing a point with orbits of size 1 and 11, while the other acts transitively on 12 points.

In fact, they are central factors, and are hence transitively normal subgroups.

This group acts transitively on all vertices, edges and triangles in the building.

Eat and read and many other verbs can be used either transitively or intransitively.

Γ acts simply transitively on the triangles in the building.

Every direct factor, or more generally, every central factor is transitively normal.

It is not necessarily transitively normal, however.

Many of them act multiply transitively on or on subsets thereof.

A homogeneous space is a G-space on which G acts transitively.

Here are some facts about transitively normal subgroups:

The group of automorphisms acts transitively on quadrangles.

The topological description is complicated by the fact that the unitary group does not act transitively on density operators.

Every c closed normal subgroup is a transitively normal subgroup.

Every orbit is an invariant subset of X on which G acts transitively.

Although a given root system has more than one possible set of simple roots, the Weyl group acts transitively on such choices.

In other words, a graph is edge-transitive if its automorphism group acts transitively upon its edges.

The group K acts simply transitively on the fibers (which are just left cosets) by right multiplication.

A permutation group G is 2-transitive if the stabilizer K of a point acts transitively on the remaining points.

The six-dimensional group O(4) acts transitively on the space of all such Clifford tori sitting inside the 3-sphere.