5,509 research outputs found

    Set families and Foulkes modules

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    We construct a new family of homomorphisms from Specht modules into Foulkes modules for the symmetric group. These homomorphisms are used to give a combinatorial description of the minimal partitions (in the dominance order) which label irreducible characters appearing as summands of the characters of Foulkes modules. The homomorphisms are defined using certain families of subsets of the natural numbers. These families are of independent interest; we prove a number of combinatorial results concerning them.Comment: 22 pages, 3 figures, final published versio

    A phenomenological inquiry into heterosexual men’s experience of gender identity in couples therapy as client

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    Forty-two per cent of marriages in England and Wales end in divorce (ONS, 2016) and the heterosexual couple continues to be the largest relationship type in 2017 (Relate, 2017). This research presents an in-depth, phenomenological exploration illuminating the experiences of being a heterosexual male in relationship therapy. The literature review describes the dearth of research into this demographic, with no prior research being found based on the experience of such men in therapy. Semi-structured interviews were conducted with twelve men and the resulting transcripts subjected to Interpretative Phenomenological Analysis (IPA). Six major themes are presented that widely challenge societal and therapeutic perspectives on men in couples therapy. The findings present a picture of men who feel unloved, uncherished, misunderstood and lonely, who deeply care about their relationship, partner and loved ones. Aware of societal changes in terms of gender roles, the participants describe key influencers on them in terms of being a man and as a man in relationship with a woman. The active consideration of the effect of the gender of the couples therapist on therapy is also revealed by participants who allude to differences in communication style between them and women. The discussion compares the experiences of the participants with five published articles written from the perspective of expert as well as with the general therapeutic literature, which is explored in the background literature section. The thesis concludes with a recommendation that all genders are actively considered in therapy and therapeutic research rather than the current trend to focus only on gender in relation to minorities or disadvantaged groups, and to acknowledge the embeddedness of gender and gender constructs for clients irrespective of the therapeutic approach or philosophical beliefs of the therapist

    Minimal and maximal constituents of twisted Foulkes characters

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    We prove combinatorial rules that give the minimal and maximal partitions labelling the irreducible constituents of a family of characters for the symmetric group that generalize Foulkes permutation characters. Restated in the language of symmetric functions, our results determine all minimal and maximal partitions that label Schur functions appearing in the plethysms sνs(m)s_\nu \circ s_{(m)}. As a corollary we prove two conjectures of Agaoka on the lexicographically least constituents of the plethysms sνs(m)s_\nu \circ s_{(m)} and sνs(1m)s_\nu \circ s_{(1^m)}

    In European public health we trust?

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    It is now 3 months since the British people voted narrowly to leave the European Union (EU). The absence of any agreement on what the alternative is, or a coherent plan to achieve it means that this may not actually happen. However, the resulting uncertainty creates major challenges, not only for the UK, which has suffered immediate economic damage, but also for the rest of Europe.peer-reviewe

    Tanzania : The Authoritarian Landslide

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