Sentence examples for ordered group from inspiring English sources

He ordered group members to their knees and struck Mr. Domínguez as he struggled, to make him comply.

Let Ω be a locally compact abelian ordered group.

For a partially ordered group G, we prove that G+ is almost invariant in G if and only if G is a finite extension of Z.

In the latter case we show by example that the ordered group is a strictly finer invariant than the group itself.

Theorem 4.2 Let k / k v be a finite extension, G be an ordered group such that G v ⊂ G and G / G v is finite.

It is also proved that if the ordered group Γ has the extension property and satisfies an archimedean condition then Ω=Γ×Z with the lexicographic order has the extension property.

If G is an ordered group, then G+ is almost invariant in G if and only if G is order isomorphic to Z. Thus, for ordered groups, the two theories of generalized Toeplitz operators intersect only in the classical theory.

Equivalently, the users are partitioned into ordered groups.

Some previous interpolation results on ordered groups are obtained as consequences.

We consider the quasi-lattice ordered groups (G, P) recently introduced by Nica.

The newly proposed scheme is equivalent to partition the users into ordered groups.