论文标题

群体的下降和分组的因素

Descent cohomology and factorizations of groups

论文作者

Bovdi, Victor, Mesablishvili, Bachuki

论文摘要

本文的目的是在[5]中介绍的下降共同体(尖)集(尖头)方面对组的分类进行全面分类。我们表明,血统的共同体包括Serre的非亚洲群体共同体,作为一种特殊情况。这使我们能够进一步概括Serre的理论,以包括单体。

The aim of the paper is to give a full classification of factorizations of groups in terms of descent cohomology (pointed) sets introduced in [5]. We show that descent cohomology includes Serre's non-abelian group cohomology as a special case. This enables us to generalize Serre's theory further to include monoids.

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