Pride groups, or “groups given by presentations in which each defining relator involves at most two types of generators”, include Coxeter groups, Artin groups, triangles of groups, and Vinberg’s groups defined by periodic paired relations. We show that every non-spherical Pride group that is not a triangle of groups satisfies the Tits alternative.

We show that if agents are risk neutral, prizes outperform wages if and only if there is su¢ cient pride and envy relative to the noisiness of performance. If agents are risk averse, prizes are a necessary supplement to wages (as bonuses). Keywords: Envy, Pride, Wages, Prizes, Bonus JEL Classi…cation: C72, D01, D23, L14.

We give short new geometric proofs of theorems of Bogley and Pride and of Serre. Both follow quickly from a global fixed point theorem. The Bogley–Pride theorem concerns aspherical relative group presentations and was applied in [5] to the multivariable adjunction problem. Serre’s theorem is a basic result concerning group cohomology and finite subgroups.

background: xylene is known as one of the most toxic of the nervous system. the purpose of this study is to estimate the concentration of xylene in the cabin of the vehicles production in iran. also the effect of ventilation, cigarette smoking, and air freshener inside the vehicle, fuel type and car decorations on the concentration of the substance being studied.   methods: 152 vehicles pride a...