L-groups of crystallographic groups
type: Item
instance of: scholarly article
title: L-groups of crystallographic groups
zbMATH Open document ID: 0622.57022
DOI: 10.1007/BF01391832
author: Masayuki Yamasaki
published in: Inventiones Mathematicae
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/143467
review text: Let \(\Lambda\) be a finitely generated group mapping onto a crystallographic group of rank n with finite kernel. The main result of the paper shows that Quinn's assembly map yields an isomorphism modulo 2- torsion between the homology groups \(H_*({\mathbb{R}}/\Lambda; {\mathbb{L}}(p))\) with spectral sheaf coefficients and the L-groups \(L_*^{- \infty}(\Lambda)\).
Mathematics Subject Classification ID: 57R67
Mathematics Subject Classification ID: 20H15
zbMATH DE Number: 4009349
zbMATH Keywords: finitely generated group
zbMATH Keywords: crystallographic group
zbMATH Keywords: assembly map
zbMATH Keywords: L-groups
MaRDI profile type: Publication
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OpenAlex ID: W2099192359
description: scientific article; zbMATH DE number 4009349