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Roughly speaking, a group G is omnipotent if orders of finitely many elements can be controlled independently in some finite quotients of G. We proved that pi1(S) is omnipotent when S is a surface other than P2,T2 or K2 . This generalizes the fact, previously known, that free groups are omnipotent. The proofs primarily utilize geometric techniques involving graphs of spaces with the aim of retracting certain spaces onto graphs. / Approximativement, on peut dire qu'un groupe G est omnipotent si les ordresquantité d'élements d'une quantite finie d'elements peuvent etre controles independamment dans unquotient fini de Nous avons prouve que 7Ti(5) est omnipotent quand S estune surface autre que P2, T2 ou K2. Cela generalise le fait, deja connu, que lesgroupes libres sont omnipotents. La preuve utilise principalement des techniquesgeometriques impliquant des graphiques d'espaces ayant pour but de retractercertains espaces en graphiques.

We prove that any finitely generated group which splits as a graph of free groups with cyclic edge groups is hyperbolic relative to certain finitely generated subgroups, known as the peripheral subgroups. Each peripheral subgroup splits as a graph of cyclic groups. Any graph of free groups with cyclic edge groups is the fundamental group of a graph of spaces X where vertex spaces are graphs, edge spaces are cylinders and attaching maps are immersions. We approach our theorem geometrically using this graph of spaces. / We apply a "coning-off" process to peripheral subgroups of the universal cover X̃ → X obtaining a space Cone(X̃) in order to prove that Cone (X̃) has a linear isoperimetric function and hence satisfies weak relative hyperbolicity with respect to peripheral subgroups. / We then use a recent characterisation of relative hyperbolicity presented by D.V. Osin to serve as a bridge between our linear isoperimetric function for Cone(X̃) and a complete proof of relative hyperbolicity. This characterisation allows us to utilise geometric properties of X in order to show that pi1( X) has a linear relative isoperimetric function. This property is known to be equivalent to relative hyperbolicity. / Keywords. Relative hyperbolicity; Graphs of free groups with cyclic edge groups, Relative isoperimetric function, Weak relative hyperbolicity.

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The benefits of being in treatment and/or non-treatment groups have not been fully investigated from the perspective of individuals with aphasia and their family members. The aims of the current study were to explore the perceived benefits for adults with aphasia post stroke of participating in treatment and/or non-treatment groups and to explore the perceived benefits for family members of having a relative with aphasia post stroke participate in treatment and/or non-treatment groups. A qualitative description research strategy was used in the study. Ten adults with aphasia post-stroke, 2 females and 8 males, and 6 family members were recruited using maximum variation sampling. The study revealed that the participants with aphasia and their family members perceived a wide range of benefits of groups involving individuals with aphasia. These results can help speech-language therapists to be aware of the range of outcomes that can be achieved for different types of groups for people with aphasia and to develop appropriate group options for individuals with aphasia.