Macdonald polynomials: Difference between revisions

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In [[group theory]], a [[group (mathematics)|group]] <math>G</math> is said to be '''free-by-cyclic''' if it has a [[free group|free]] [[normal subgroup]] <math> F</math> such that the [[quotient group]]
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:<math> G/F</math>
 
is [[cyclic group|cyclic]].
 
In other words, <math>G</math> is free-by-cyclic if it can be expressed as a [[group extension]] of a free group by a cyclic group (NB there are two conventions for 'by').
 
If <math>F</math> is a [[finitely generated group]] we say that <math>G</math> is ''(finitely generated free)-by-cyclic'' (or (f.g. free)-by-cyclic). 
 
==References==
* A. Martino and E. Ventura (2004), [http://www.crm.es/Publications/04/pr574.pdf ''The Conjugacy Problem for Free-by-Cyclic Groups'']. Preprint from the Centre de Recerca Matemàtica, Barcelona, Catalonia, Spain.
 
[[Category:Infinite group theory]]
 
 
{{Abstract-algebra-stub}}

Revision as of 21:10, 20 February 2014

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