ON THE LATTICE OF SUBGROUPS OF A FREE GROUP: COMPLEMENTS AND RANK

On the lattice of subgroups of a free group: complements and rank

A $ ee$-complement of a subgroup $H leqslant mathbb{F}_n$ is a subgroup $K leqslant mathbb{F}_n$ such that $H ee K = mathbb{F}_n$.If we also ask $K$ to have trivial intersection with $H$, then we say that $K$ is a $oplus$-complement of $H$.The minimum possible rank of a $ ee$-complement (resp.$oplus$-complement) of $H$ Roll On is called the $ ee$-

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evaluation of rural tourism supply chain ( Mesr village)

Evaluation of different parts of tourism will cause the optimized resourceallocation of development plans and strategies, thereupon evaluating these partshas become essential in various destinations.Rural tourism consider as one ofthe main forces of developing and welfare of rural economies.In such term,rural tourism supply chain evaluation is rega

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Desenvolvimento amazônico em questão

This article Roll On questions several aspects of current development policies in the Amazon.The central argument is that the knowledge of the region is essential for achieving sustainable development.Thirteen points are discussed to stimulate debate, and these are: the invention of the Amazon; regional inequalities; knowledge as a factor of develo

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A Mark-Release-Recapture Study to Estimate Field Performance of Imported Radio-Sterilized Male Aedes albopictus in Albania

The pathogen transmitting Aedes albopictus mosquito is spreading rapidly in Europe, putting millions of humans and animals at risk.This species is well-established in Albania since its first detection in 1979.The sterile insect technique (SIT) is increasingly gaining momentum worldwide as a component of area-wide-integrated pest management.However,

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