Serre's property FA
id:
serre-s-property-fa-304-13452513
title:
Serre's property FA
text:
In mathematics, Property FA is a property of groups first defined by Jean-Pierre Serre. A group G is said to have property FA if every action of G on a tree has a global fixed point. Serre shows that if a group has property FA, then it cannot split as an amalgamated product or HNN extension; indeed, if G is contained in an amalgamated product then it is contained in one of the factors. In particular, a finitely generated group with property FA has finite abelianization. Property FA is equivalent
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Serre%27s_property_FA
date created:
date modified:
2019-03-17T16:18:02Z
main entity:
{"identifier":"Q7455404","url":"https://www.wikidata.org/entity/Q7455404"}
image:
fields total:
13
integrity:
13