Seminars
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
Forthcoming seminars
Seminar calendar
List of seminars
Archive by years
Register a seminar

Search
RSS
Forthcoming seminars






"Algorithmic problems in algebra and logic" (S.I.Adian seminar)
April 2, 2013 18:30–20:05, Moscow, Steklov Mathematical Institute
 


On the minimal exponential growth rates in free products of groups

A. L. Talambutsa

Number of views:
This page:125

Abstract: In this talk we will discuss lower bounds for minimal exponential growth rate $\Omega(G*H)$ of the free product of groups $G$ and $H$. A.Mann has proved that $\Omega(G*H)\geqslant \sqrt{2}$ for all free products $G*H$ except when it is a free product $C_2*C_2$ of two cyclic groups of order $2$. This lower bound is precise in the case of $C_2*C_3$, i.e. $\Omega(C_2*C_3)=\sqrt{2}$.
We prove that in the cases when $G*H$ is neither $C_2*C_2$ nor $C_2*C_3$, the lower bound of A.Mann can be strengthened, namely $\Omega(G*H)\geqslant \frac{1+\sqrt{5}}2$. This talk is based on a joint work with M.Bucher-Karlsson.

SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru
 
Contact us:
 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2021