30 research outputs found

    On the finiteness of the classifying space for the family of virtually cyclic subgroups

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    Given a group G, we consider its classifying space for the family of virtually cyclic subgroups. We show for many groups, including for example, one-relator groups, acylindrically hyperbolic groups, 3-manifold groups and CAT(0) cube groups, that they do not admit a finite model for this classifying space unless they are virtually cyclic. This settles a conjecture due to Juan-Pineda and Leary for these classes of groups

    Linear groups, conjugacy growth, and classifying spaces for families of subgroups

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    Given a group GG and a family of subgroups F\mathcal{F}, we consider its classifying space EFGE_{\mathcal F}G with respect to F\mathcal{F}. When F=VCyc\mathcal F = \mathcal{VC}yc is the family of virtually cyclic subgroups, Juan-Pineda and Leary conjectured that a group admits a finite model for this classifying space if and only if it is virtually cyclic. By establishing a connection to conjugacy growth we can show that this conjecture holds for linear groups. We investigate a similar question that was asked by Lück-Reich-Rognes-Varisco for the family of cyclic subgroups. Finally, we construct finitely generated groups that exhibit wild inner automorphims but which admit a model for EVCyc(G)E_{\mathcal{VC}yc}(G) whose 0-skeleton is finite

    On the finiteness of the classifying space for virtually cyclic subgroups

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    Advanced Launch Vehicle Computer Program for Flyback and Recovery Trajectories

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    Advanced launch vehicle computer program for flyback and recovery trajectorie

    IGSIC - interaktiver graphischer Silicon Compiler Kurzbeschreibung

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    Copy held by FIZ Karlsruhe; available from UB/TIB Hannover / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman

    Konzepte der Programmiersprache MODULA-P

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    SIGLETIB: RN 7281 (158) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman
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