Permanent groups

Human groups as adaptive units: toward a permanent consensus

Foundational changes are taking place in our understanding of human groups. For decades, the biological and social sciences have been dominated by a form of individualism that renders groups as nothing more than collections of self-interested individuals. Now groups themselves are being interpreted as adaptive units, organisms in their own right, in which individuals play supportive roles. Let ...

Groups and Ultra-groups

In this paper, in addition to some elementary facts about the ultra-groups, which their structure based on the properties of the transversal of a subgroup of a group, we focus on the relation between a group and an ultra-group. It is verified that every group is an ultra-group, but the converse is not true generally. We present the conditions under which, for every normal subultra-group of an u...

‘Knowing’ as an Activity: Implications for the Film Industry and Semi- Permanent Work Groups

Fredman’s reciprocity, invariants of abelian groups, and the permanent of the Cayley table

Let R be the regular representation of a finite abelian group G and let Cn denote the cyclic group of order n. For G = Cn, we compute the Poincaré series of all Cn-isotypic components in S·R⊗∧·R (the symmetric tensor exterior algebra of R). From this we derive a general reciprocity and some number-theoretic identities. This generalises results of Fredman and Elashvili–Jibladze. Then we consider...

What makes the permanent articular cartilage permanent?

Articular cartilage functions by providing a specialized mechanically competent extracellular matrix to withstand load bearing, thus protecting the underlying bones and allowing their near friction-free articulation in the joints. The resident chondrocytes maintain this function throughout life and do so by retaining a stable phenotype that resists hypertrophy and vascular invasion from the bon...