On the Holomorph of a Discrete Group
نویسنده
چکیده
Abstract. The holomorph of a discrete group G is the universal semi-direct product of G. We construct a resolution for Hol(Zpr ) for every prime p, where Zm denotes a cyclic group of order m, and use it to compute the integer homology and mod p cohomology of Hol(Zpr ) (this computation is long and is omitted here, but will appear in [V]). Also, we study maps of holomorphs of groups and maps of split extensions for holomorphs to show that the LyndonHochschild-Serre spectral sequence for the cohomology of Hol(⊕
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تاریخ انتشار 2008