189,568 research outputs found

    The homology of Peiffer products of groups

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    The Peiffer product of groups first arose in work of J.H.C. White-head on the structure of relative homotopy groups, and is closely related to problems of asphericity for two-complexes. We develop algebraic methods for computing the second integral homology of a Peiffer product. We show that a Peiffer product of superperfect groups is superperfect, and determine when a Peiffer product of cyclic groups has trivial second homology. We also introduce a double wreath product as a Peiffer product.</p

    Teesing (H. P. H.). Das Problem des Perioden in der Literaturgeschichte

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    Peiffer J. Teesing (H. P. H.). Das Problem des Perioden in der Literaturgeschichte. In: Revue belge de philologie et d'histoire, tome 29, fasc. 1, 1951. pp. 167-171

    Teesing (H. P. H.). Das Problem des Perioden in der Literaturgeschichte

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    Peiffer J. Teesing (H. P. H.). Das Problem des Perioden in der Literaturgeschichte. In: Revue belge de philologie et d'histoire, tome 29, fasc. 1, 1951. pp. 167-171

    Test de Rorschach et Noirs hanséniens, par E. Peiffer

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    Stora R. Test de Rorschach et Noirs hanséniens, par E. Peiffer. In: Bulletin du groupement français du Rorschach, n°10, 1958. p. 72

    Test de Rorschach et Noirs hanséniens, par E. Peiffer

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    Stora R. Test de Rorschach et Noirs hanséniens, par E. Peiffer. In: Bulletin du groupement français du Rorschach, n°10, 1958. p. 72

    Traduction française de la table des matières de Apidologie, 2021, Vol 52, n° 1

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    Traduction française de la table des matières de Apidologie, 2021, Vol 52, n° 1, 5 p. Version anglaise https://link.springer.com/journal/13592/volumes-and-issues/52-1 (consulté le 21 avril 2021). French translation of the table of content of Apidologie, 2021, Vol 52, Issue 1, 5 p. English version https://link.springer.com/journal/13592/volumes-and-issues/52-1 (accessed 21 April 2021)

    E. Peiffer : Données obtenues au test de Rorschach chez des Noirs d'Afrique occidentale française

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    Rausch de Traubenberg Nina. E. Peiffer : Données obtenues au test de Rorschach chez des Noirs d'Afrique occidentale française. In: Bulletin de la Société française du Rorschach et des méthodes projectives, n°13-14, 1962. p. 85

    Peiffer elements in simplicial groups and algebras

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    AbstractThe main objective of this paper is to prove in full generality the following two facts:A. For an operad O in Ab, let A be a simplicial O-algebra such that Am is generated as an O-ideal by (∑i=0m−1si(Am−1)), for m>1, and let NA be the Moore complex of A. Thend(NmA)=∑Iγ(Op⊗⋂i∈I1kerdi⊗⋯⊗⋂i∈Ipkerdi)where the sum runs over those partitions of [m−1], I=(I1,…,Ip), p≥1, and γ is the action of O on A.B. Let G be a simplicial group with Moore complex NG in which Gn is generated as a normal subgroup by the degenerate elements in dimension n>1, then d(NnG)=∏I,J[⋂i∈Ikerdi,⋂j∈Jkerdj], for I,J⊆[n−1] with I∪J=[n−1].In both cases, di is the i-th face of the corresponding simplicial object.The former result completes and generalizes results from Akça and Arvasi [I. Akça, Z. Arvasi, Simplicial and crossed Lie algebras, Homology Homotopy Appl. 4 (1) (2002) 43–57], and Arvasi and Porter [Z. Arvasi, T. Porter, Higher dimensional Peiffer elements in simplicial commutative algebras, Theory Appl. Categ. 3 (1) (1997) 1–23]; the latter completes a result from Mutlu and Porter [A. Mutlu, T. Porter, Applications of Peiffer pairings in the Moore complex of a simplicial group, Theory Appl. Categ. 4 (7) (1998) 148–173]. Our approach to the problem is different from that of the cited works. We have first succeeded with a proof for the case of algebras over an operad by introducing a different description of the inverse of the normalization functor N:AbΔop→Ch≥0. For the case of simplicial groups, we have then adapted the construction for the inverse equivalence used for algebras to get a simplicial group NG⊠Λ from the Moore complex NG of a simplicial group G. This construction could be of interest in itself
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