Fixed points and stable images of endomorphisms for the free group of rank two
| Autor: | Alan D. Logan, Laura Ciobanu |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Algebra and Number Theory
Endomorphism Image (category theory) 010102 general mathematics 20F65 20F10 20E05 Group Theory (math.GR) Fixed point 01 natural sciences Combinatorics Mathematics::Group Theory 0103 physical sciences Free group FOS: Mathematics Rank (graph theory) High Energy Physics::Experiment 010307 mathematical physics 0101 mathematics Mathematics - Group Theory Mathematics |
| DOI: | 10.48550/arxiv.2009.04937 |
| Popis: | We give an algorithm which computes the fixed subgroup and the stable image for any endomorphism of the free group of rank two $F_2$, answering for $F_2$ a question posed by Stallings in 1984 and a question of Ventura. Comment: 34 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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