Finitely Presented Subgroups of Automatic Groups and their Isoperimetric Functions
Identifieur interne : 00CE01 ( Main/Exploration ); précédent : 00CE00; suivant : 00CE02Finitely Presented Subgroups of Automatic Groups and their Isoperimetric Functions
Auteurs : Gilbert Baumslag [États-Unis] ; Martin R. Bridson ; Charles F. Miller [Australie] ; Hamish Short [France]Source :
- Journal of the London Mathematical Society [ 0024-6107 ] ; 1997-10.
Abstract
We describe a general technique for embedding certain amalgamated products into direct products. This technique provides us with a way of constructing a host of finitely presented subgroups of automatic groups which are not even asynchronously automatic. We can also arrange that such subgroups satisfy, at best, an exponential isoperimetric inequality.
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DOI: 10.1112/S0024610797005395
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This technique provides us with a way of constructing a host of finitely presented subgroups of automatic groups which are not even asynchronously automatic. We can also arrange that such subgroups satisfy, at best, an exponential isoperimetric inequality.</div></front></TEI><affiliations><list><country><li>Australie</li><li>France</li><li>États-Unis</li></country></list><tree><noCountry><name sortKey="Bridson, Martin R" sort="Bridson, Martin R" uniqKey="Bridson M" first="Martin R." last="Bridson">Martin R. Bridson</name></noCountry><country name="États-Unis"><noRegion><name sortKey="Baumslag, Gilbert" sort="Baumslag, Gilbert" uniqKey="Baumslag G" first="Gilbert" last="Baumslag">Gilbert Baumslag</name></noRegion></country><country name="Australie"><noRegion><name sortKey="Miller, Charles F" sort="Miller, Charles F" uniqKey="Miller C" first="Charles F." last="Miller">Charles F. Miller</name></noRegion></country><country name="France"><noRegion><name sortKey="Short, Hamish" sort="Short, Hamish" uniqKey="Short H" first="Hamish" last="Short">Hamish Short</name></noRegion></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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