Browsing by Subject "Orbit space"

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    A model structure via orbit spaces for equivariant homotopy
    (Springer, 2019-06-26) Erdal, Mehmet Akif; Güçlükan İlhan, Aslı
    Let G be discrete group and FF be a collection of subgroups of G. We show that there exists a left induced model structure on the category of right G-simplicial sets, in which the weak equivalences and cofibrations are the maps that induce weak equivalences and cofibrations on H-orbits for all H in FF. This gives a model categorical criterion for maps that induce weak equivalences on H-orbits to be weak equivalences in the FF-model structure.
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    On contractibility of th orbit space of a G-poset of Brauer pairs
    (Elsevier, 1999-02-15) Barker, L.
    Given ap-blockbof a finite groupG, we show that theG-poset of Brauer pairs strictly containing (1,b) has contractibleG-orbit space. A similar result is proved for certainG-posets ofp-subgroups. Both results generalise P. Symonds' verification of a conjecture of P. Webb. © 1999 Academic Press.
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    On contractibility of the Orbit Space of a G-Poset of Brauer Pairs
    (1999) Barker, Laurence
    Given ap-blockbof a finite groupG, we show that theG-poset of Brauer pairs strictly containing (1,b) has contractibleG-orbit space. A similar result is proved for certainG-posets ofp-subgroups. Both results generalise P. Symonds' verification of a conjecture of P. Webb.