Classification of Odometers: A Short Elementary Proof
The paper deals with odometers (i.e. adding machines) of general type. We give a characterization of self-conjugacies of odometers which enables us to present an elementary proof of a classification of odometers given by Buescu and Stewart in [2]. The paper might also serve as a very quick introduct...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sciendo
2022-09-01
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| Series: | Annales Mathematicae Silesianae |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/amsil-2022-0010 |
| _version_ | 1811332713650585600 |
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| author | Hric Roman Výbošťok Miroslav |
| author_facet | Hric Roman Výbošťok Miroslav |
| author_sort | Hric Roman |
| collection | DOAJ |
| description | The paper deals with odometers (i.e. adding machines) of general type. We give a characterization of self-conjugacies of odometers which enables us to present an elementary proof of a classification of odometers given by Buescu and Stewart in [2]. The paper might also serve as a very quick introduction to odometers. |
| first_indexed | 2024-04-13T16:41:02Z |
| format | Article |
| id | doaj.art-af10c444df974d52ab1348d2baa7f53d |
| institution | Directory Open Access Journal |
| issn | 2391-4238 |
| language | English |
| last_indexed | 2024-04-13T16:41:02Z |
| publishDate | 2022-09-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Annales Mathematicae Silesianae |
| spelling | doaj.art-af10c444df974d52ab1348d2baa7f53d2022-12-22T02:39:14ZengSciendoAnnales Mathematicae Silesianae2391-42382022-09-0136218419210.2478/amsil-2022-0010Classification of Odometers: A Short Elementary ProofHric Roman0Výbošťok Miroslav1Department of Mathematics, Faculty of Natural Sciences, Matej Bel University, Tajovského 40, SK-97401Banská Bystrica, SlovakiaDepartment of Mathematics, Faculty of Natural Sciences, Matej Bel University, Tajovského 40, SK-97401Banská Bystrica, SlovakiaThe paper deals with odometers (i.e. adding machines) of general type. We give a characterization of self-conjugacies of odometers which enables us to present an elementary proof of a classification of odometers given by Buescu and Stewart in [2]. The paper might also serve as a very quick introduction to odometers.https://doi.org/10.2478/amsil-2022-0010odometerconjugacyself-conjugacyclassification37b0537b10 |
| spellingShingle | Hric Roman Výbošťok Miroslav Classification of Odometers: A Short Elementary Proof Annales Mathematicae Silesianae odometer conjugacy self-conjugacy classification 37b05 37b10 |
| title | Classification of Odometers: A Short Elementary Proof |
| title_full | Classification of Odometers: A Short Elementary Proof |
| title_fullStr | Classification of Odometers: A Short Elementary Proof |
| title_full_unstemmed | Classification of Odometers: A Short Elementary Proof |
| title_short | Classification of Odometers: A Short Elementary Proof |
| title_sort | classification of odometers a short elementary proof |
| topic | odometer conjugacy self-conjugacy classification 37b05 37b10 |
| url | https://doi.org/10.2478/amsil-2022-0010 |
| work_keys_str_mv | AT hricroman classificationofodometersashortelementaryproof AT vybostokmiroslav classificationofodometersashortelementaryproof |