Yaroslav V. Lavrenyuk, Vitaly I. Sushchansky, “A note to our paper “Automorphisms of homogeneous symmetric groups and hierarchomorphisms of rooted trees””, Algebra Discrete Math., 2005, Issue 2,Pages <nobr>90

A SHORT NOTE

A note to our paper “Automorphisms of homogeneous symmetric groups and hierarchomorphisms of rooted trees”

Yaroslav V. Lavrenyuk^a, Vitaly I. Sushchansky^b

^a Department of Mechanics and Mathematics, Kyiv Taras Shevchenko University, 64, Volodymyrska st., 01033, Kyiv, Ukraine
^b Institute of Mathematics, Silesian University of Technology, 23, ul. Kaszubska, 44–100, Gliwice, Poland

Abstract: The results on automorphisms of homogeneous alternating groups are corrected and improved.

Keywords: rooted tree, hierarchomorphism, local isometry, diagonal embedding, direct limit, homogeneous symmetric group, group automorphisms.

MSC: 20B35, 20E08, 20F28, 20F50

Received: 30.05.2005
Revised: 05.07.2005

Language: English