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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Showing 1 to 2 of 2 (0.079 seconds)

Spelling suggestions: "subject:"linearly sofia groups"" "subject:"linearly sofie groups""

1

Linear Approximation of Groups and Ultraproducts of Compact Simple Groups / Lineare Gruppenapproximation und Ultraprodukte kompakter einfacher Gruppen

Stolz, Abel 23 October 2013 (has links) (PDF)
We derive basic properties of groups which can be approximated with matrices. These include closure of classes of such groups under group theoretic constructions including direct and inverse limits and free products. We show that metric ultraproducts of projective linear groups over fields of different characteristics are not isomorphic. We further prove that the lattice of normal subgroups in ultraproducts of compact simple groups is distributive. It is linearly ordered in the case of finite simple groups or Lie groups of bounded rank.
sofische Gruppen
linear sofische Gruppen
Ultraprodukte
metrische Ultraprodukte
kompakte einfache Gruppen
sofic groups
linearly sofic groups
ultraproducts
metric ultraproducts
compact simple groups
ddc:500
2

Linear Approximation of Groups and Ultraproducts of Compact Simple Groups

Stolz, Abel 17 October 2013 (has links)
We derive basic properties of groups which can be approximated with matrices. These include closure of classes of such groups under group theoretic constructions including direct and inverse limits and free products. We show that metric ultraproducts of projective linear groups over fields of different characteristics are not isomorphic. We further prove that the lattice of normal subgroups in ultraproducts of compact simple groups is distributive. It is linearly ordered in the case of finite simple groups or Lie groups of bounded rank.
info:eu-repo/classification/ddc/500
ddc:500

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