Fully irreducible automorphism
In the mathematical subject geometric group theory, a fully irreducible automorphism of the free group Fn is an element of Out(Fn) which has no periodic conjugacy classes of proper free factors in Fn (where n > 1). Fully irreducible automorphisms are also referred to as "irreducible with irreducible powers" or "iwip" automorphisms. The notion of being fully irreducible provides a key Out(Fn) counterpart of the notion of a pseudo-Anosov element of the mapping class group of a finite type surface. Fully irreducibles play an important role in the study of structural properties of individual elements and of subgroups of Out(Fn).
Link from a Wikipage to another Wikipage
primaryTopic
Fully irreducible automorphism
In the mathematical subject geometric group theory, a fully irreducible automorphism of the free group Fn is an element of Out(Fn) which has no periodic conjugacy classes of proper free factors in Fn (where n > 1). Fully irreducible automorphisms are also referred to as "irreducible with irreducible powers" or "iwip" automorphisms. The notion of being fully irreducible provides a key Out(Fn) counterpart of the notion of a pseudo-Anosov element of the mapping class group of a finite type surface. Fully irreducibles play an important role in the study of structural properties of individual elements and of subgroups of Out(Fn).
has abstract
In the mathematical subject ge ...... s and of subgroups of Out(Fn).
@en
Link from a Wikipage to an external page
Wikipage page ID
52,244,947
page length (characters) of wiki page
Wikipage revision ID
1,021,278,479
Link from a Wikipage to another Wikipage
wikiPageUsesTemplate
comment
In the mathematical subject ge ...... s and of subgroups of Out(Fn).
@en
label
Fully irreducible automorphism
@en