‎in [u‎. ‎dempwolff‎, ‎on extensions of elementary abelian groups of order $2^{5}$ by $gl(5,2)$‎, ‎textit{rend‎. ‎sem‎. ‎mat‎. ‎univ‎. ‎padova}‎, ‎textbf{48} (1972)‎, ‎359‎ - ‎364.] dempwolff proved the existence of a group of the‎ ‎form $2^{5}{^{cdot}}gl(5,2)$ (a non split extension of the‎ ‎elementary abelian group $2^{5}$ by the general linear group‎ ‎$gl(5,2)$)‎. ‎this group is the second l...

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.