Every group is the outer automorphism group of an HNN-extension of a fixed triangle group

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

THE AUTOMORPHISM GROUP OF FINITE GRAPHS

Let G = (V,E) be a simple graph with exactly n vertices and m edges. The aim of this paper is a new method for investigating nontriviality of the automorphism group of graphs. To do this, we prove that if |E| >=[(n - 1)2/2] then |Aut(G)|>1 and |Aut(G)| is even number.

متن کامل

An Ascending Hnn Extension of a Free Group Inside

We give an example of a subgroup of SL2 C which is a strictly ascending HNN extension of a non-abelian finitely generated free group F . In particular, we exhibit a free group F in SL2 C of rank 6 which is conjugate to a proper subgroup of itself. This answers positively a question of Drutu and Sapir (2005). The main ingredient in our construction is a specific finite volume (non-compact) hyper...

متن کامل

AUTOMORPHISM GROUP OF GROUPS OF ORDER pqr

H"{o}lder in 1893 characterized all groups of order $pqr$ where  $p>q>r$ are prime numbers. In this paper,  by using new presentations of these groups, we compute their full automorphism group.

متن کامل

Every Finite Group Is the Automorphism Group of Some Finite Orthomodular Lattice

If L is a lattice, the automorphism group of L is denoted Aut(L). It is known that given a finite abstract group H, there exists a finite distributive lattice D such that Aut(D) £= H. It is also known that one cannot expect to find a finite orthocomplemented distributive (Boolean) lattice B such that Aut(B) s= H. In this paper it is shown that there does exist a finite orthomodular lattice L su...

متن کامل

An Ergodic Action of the Outer Automorphism Group of a Free Group

Theorem. Suppose that G is a connected group locally isomorphic to a product of copies of SU(2) and U(1). If n > 2, then the Out(Fn)-action on Hom(Fn, G)/G is ergodic. We conjecture that Out(Fn) is ergodic on each connected component of Hom(Fn, G)/G for every compact Lie group G and n > 2. When G = U(1), then this action is just the action of GL(n,Z) on the n-torus R/Z, which is well known to b...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 2019

ISSN: 0001-8708

DOI: 10.1016/j.aim.2019.06.009