𝔖 Bobbio Scriptorium
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Orbit sizes under automorphism actions in finite groups

✍ Scribed by Thomas Yuster


Book ID
107774622
Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
655 KB
Volume
82
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


Automorphic orbits in free groups
✍ Alexei G. Myasnikov; Vladimir Shpilrain πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 193 KB

Let F n be the free group of a finite rank n. We study orbits Orb Ο† (u), where u is an element of the group F n , under the action of an automorphism Ο†. If an orbit like that is finite, we determine precisely what its cardinality can be if u runs through the whole group F n , and Ο† runs through the