Finite groups as groups of automata with no cycles with exit

• Published in: Algebra and Discrete Mathematics
• Date: 2010
• Main Author: Russyev, A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154493
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Finite groups as groups of automata with no cycles with exit / A. Russyev // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 1. — С. 86–102. — Бібліогр.: 8 назв. — англ.

Representations of finite groups as automata groups over a binary alphabet are investigated. The subclass of groups of automata with no cycles with exit is studied.