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Let G be a simple linear algebraic group over an algebraically dosed field K of characteristic p >= 0 and let V be an irreducible rational G-module with highest weight A. When is self-dual, a basic question to ask is whether V has a non-degenerate G-invari ...
We examine how, in prime characteristic p, the group of endotrivial modules of a finite group G and the group of endotrivial modules of a quotient of G modulo a normal subgroup of order prime to p are related. There is always an inflation map, but examples ...
Let G be a simple algebraic group over an algebraically closed field K of characteristic p >= 0, let H be a proper closed subgroup of G and let V be a nontrivial irreducible KG-module, which is p-restricted, tensor indecomposable and rational. Assume that ...
This study presents a method for estimating the average vertical displacement of energy pile groups subjected to thermal loads. The method consists of replacing any regular energy pile group with a single equivalent pier of the same length and an equivalen ...
The behaviour of conventional pile groups (e.g., closely spaced) that are subjected to mechanical loads has been shown to be different than the behaviour of single isolated piles. The so-called group effects are responsible for this behaviour and must be c ...
This article envisions a new customer support solution that merges the efficiency of crowd-based Question and Answer (QA) sites with the effectiveness of traditional customer care services. QA sites use crowdsourcing to solve problems in a very efficient w ...
For a group G generated by k elements, the Nielsen equivalence classes are defined as orbits of the action of AutF(k), the automorphism group of the free group of rank k, on the set of generating k-tuples of G. Let p >= 3 be prime and G(p) the Gupta-Sidki ...
We consider a natural subclass of harmonic maps from a surface into G/T, namely cyclic primitive maps. Here G is any simple real Lie group (not necessarily compact), T is a Cartan subgroup and both are chosen so that there is a Coxeter automorphism on G(C) ...
Let K be an algebraically closed field of characteristic p≥0 and let Y=SPin2n+1(K)(n≥3) be a simply connected simple algebraic group of type Bn over K. Also let X be the subgroup of type Dn, embedded in Y in the usual way, as the ...
This study presents a method for estimating the average vertical displacement of energy pile groups subjected to thermal loads. The method consists of replacing any regular energy pile group with a single equivalent pier of the same length and an equivalen ...