We consider smooth families of Lie groups (group bundles) and connections that are compatible with the group operation. characterize space on a bundle as an affine modeled over vector $$1$$ -forms values cocycles in algebra aforementioned bundle. show satisfy Ambrose–Singer theorem bundles can be seen particular case associated realizing connections. give construction Moduli fixed base fiber, r...

Groups behave in a variety of ways. To show that this behavior amounts to action, it would be best fit into general account action. However, nearly every from the philosophy action requires agent have mental states such as beliefs, desires, and intentions. Unfortunately, theorists are divided over whether groups can instantiate these states—typically depending on or not they willing accept func...

Abstract Groups, like individuals, can communicate. They issue statements, make promises, give advice. Sometimes, in doing so, they lie and deceive. The goal of this paper is to offer a precise characterisation what it means for group an assertion lie. I begin by showing that Lackey’s influential account unable distinguish assertions from other speech acts, explicit statements implicatures, lyi...

one studies the $hx$-hypergroups, corresponding to the chinese hypergroups associated with the direct products of some ${bf z}/n {bf z},$ calculating their fuzzy grades.

in this paper we give an elementary argument about the atoms and coatoms of the latticeof all subgroups of a group. it is proved that an abelian group of finite exponent is strongly coatomic.

we regard the shearlet group as a semidirect product group andshow that its standard representation is,typically, a quasiregu-lar representation. as a result we can characterize irreducibleas well as square-integrable subrepresentations of the shearletgroup.

Abstract Let N and H be groups, let G an extension of by . In this article, we describe the structure complex group ring in terms data associated with particular, present conditions on building blocks guaranteeing that satisfies zero-divisor idempotent conjectures. Moreover, for central extensions involving amenable groups Kadison–Kaplansky conjecture holds C $$^*$$ <mml:math xmlns:mml="http://...