Automorphisms of homogeneous symmetric groups and hierarchomorphisms of rooted trees

• Published in: Algebra and Discrete Mathematics
• Date: 2003
• Main Authors: Lavrenyuk, Y.V., Sushchansky, V.I.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2003
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/155723
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Automorphisms of homogeneous symmetric groups and hierarchomorphisms of rooted trees / Y.V. Lavrenyuk, V.I. Sushchansky // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 4. — С. 33–49. — Бібліогр.: 13 назв. — англ.

A representation of homogeneous symmetric
 groups by hierarchomorphisms of spherically homogeneous rooted
 trees are considered. We show that every automorphism of a homogeneous symmetric (alternating) group is locally inner and that
 the group of all automorphisms contains C...