Carregant...
Carregant...

Vés al contingut (premeu Retorn)

Bounding the gap between a free group (outer) automorphism and its inverse

Autor
Ladra, M.; Silva, P.V.; Ventura, E.
Tipus d'activitat
Article en revista
Revista
Collectanea mathematica
Data de publicació
2016-09-01
Volum
67
Número
3
Pàgina inicial
329
Pàgina final
346
DOI
https://doi.org/10.1007/s13348-015-0133-3 Obrir en finestra nova
Projecte finançador
Métodos geométricos en teoría de grupos
Repositori
http://hdl.handle.net/2117/98389 Obrir en finestra nova
https://arxiv.org/abs/1212.6749 Obrir en finestra nova
URL
http://link.springer.com/article/10.1007%2Fs13348-015-0133-3 Obrir en finestra nova
Resum
For any finitely generated group GG , two complexity functions aGaG and ßGßG are defined to measure the maximal possible gap between the norm of an automorphism (respectively, outer automorphism) of GG and the norm of its inverse. Restricting attention to free groups FrFr , the exact asymptotic behaviour of a2a2 and ß2ß2 is computed. For rank r¿3r¿3 , polynomial lower bounds are provided for arar and ßrßr , and the existence of a polynomial upper bound is proved for ßr...
Citació
Ladra, M., Silva, P.V., Ventura, E. Bounding the gap between a free group (outer) automorphism and its inverse. "Collectanea mathematica", 1 Setembre 2016, vol. 67, núm. 3, p. 329-346.
Paraules clau
Automorphism, Inverse Automorphism, Norm Of An Automorphism, Free Group
Grup de recerca
MD - Matemàtica Discreta

Participants

Arxius