Simplişıl Profinite Grupların Kullanımı

Year 2005, Volume: 21 Issue: 1, 35 - 46, 01.02.2005

Ali Mutlu Berrin Mutlu Melike Selimgil

Abstract

Bu çalışmada simplişıl profinite grupların alt merkezi serileri ve simplişıl grupların p -alt merkezi serilerin spektral dizilerinin yakınsaklık teoremlerinin oldukça farklı ispatlarını veriyoruz. Serre spektral dizileri ve Whitehead teoremlerinde olduğu gibi simplişıl grupların eşhomolojisinin simplişıl profinite gruplarının standart özelliklerine genişletmesi verilir.

Keywords

Profinite Grup, Simplişıl Grup, Spektral diziler ve Seriler

BY USING SIMPLICIAL PROFINITE GROUPS

Abstract

In this study, we present simplicial pro p-groups to give quite different proofs of the convergence theorems for the lower central series and p-lower central series spectral sequence of simplicial group. Simplicial profinite groups are given to generalise standard properties of the cohomology of simplicial groups such as the Serre spectral and Whitehead theorems.

Keywords

Profinite Group, Simplicial Group, Spectral Sequences and Series

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