Sentence examples for classes of groups from inspiring English sources
We establish connectivity or lack of connectivity for C⁎-algebras associated to certain classes of groups: virtually abelian groups, linear connected nilpotent Lie groups and linear connected semisimple Lie groups.
Depending on the structure of G and possibly also that of L, L may admit differentiable Lp-functional calculi, or may be of holomorphic Lp-type for a given p≠2, as recent studies of specific classes of groups G and sub-Laplacians L have revealed.
The subject, which emerged during the 19th century, is traditionally introduced via the classes of groups, rings, and fields.
In fact, arguments provided in [15, 28] allow to prove stronger conjecture (C^*(1/2)) for these classes of groups.
We discuss some new results concerning Gap Conjecture on group growth and present a reduction of it (and its -version) to several special classes of groups.
These results make it natural to define three classes of groups: (mathcal{AG }) is the class of amenable groups, defined in [123].
As a consequence, we can distinguish between certain classes of group von Neumann algebras associated to wreath product groups.
The S. meliloti strain used in this study harbours three classes of group II introns, RmInt1 (bacterial class D), SMb21477/SMb21167 (bacterial class C), and SMa1875 (unclassified) [ 59].
It generalizes finite asymptotic dimension and applies to a wide class of groups.
This property is satisfied by all elements of a wide class of groups called locally [FIA]−.
