Rational Groups whose character degree graphs are disconnected
A finite group all of whose complex character values are rational is called a rational group. In this paper, we classify all rational groups whose character degree graphs are disconnected.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Académie des sciences
2022-06-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.337/ |
| _version_ | 1797651527394918400 |
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| author | Erkoç, Temha Akar, Gamze |
| author_facet | Erkoç, Temha Akar, Gamze |
| author_sort | Erkoç, Temha |
| collection | DOAJ |
| description | A finite group all of whose complex character values are rational is called a rational group. In this paper, we classify all rational groups whose character degree graphs are disconnected. |
| first_indexed | 2024-03-11T16:16:03Z |
| format | Article |
| id | doaj.art-3623f173da0d4b73bc6ab370ac0a60dc |
| institution | Directory Open Access Journal |
| issn | 1778-3569 |
| language | English |
| last_indexed | 2024-03-11T16:16:03Z |
| publishDate | 2022-06-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj.art-3623f173da0d4b73bc6ab370ac0a60dc2023-10-24T14:19:27ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692022-06-01360G671171510.5802/crmath.33710.5802/crmath.337Rational Groups whose character degree graphs are disconnectedErkoç, Temha0https://orcid.org/0000-0001-5437-3679Akar, Gamze1https://orcid.org/0000-0001-8950-1335Istanbul University, Faculty of Science, Department of Mathematics, 34134 Istanbul,TurkeyIstinye University, Faculty of Engineering and Natural Sciences, Department of Mathematics, 34396 Istanbul,TurkeyA finite group all of whose complex character values are rational is called a rational group. In this paper, we classify all rational groups whose character degree graphs are disconnected.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.337/ |
| spellingShingle | Erkoç, Temha Akar, Gamze Rational Groups whose character degree graphs are disconnected Comptes Rendus. Mathématique |
| title | Rational Groups whose character degree graphs are disconnected |
| title_full | Rational Groups whose character degree graphs are disconnected |
| title_fullStr | Rational Groups whose character degree graphs are disconnected |
| title_full_unstemmed | Rational Groups whose character degree graphs are disconnected |
| title_short | Rational Groups whose character degree graphs are disconnected |
| title_sort | rational groups whose character degree graphs are disconnected |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.337/ |
| work_keys_str_mv | AT erkoctemha rationalgroupswhosecharacterdegreegraphsaredisconnected AT akargamze rationalgroupswhosecharacterdegreegraphsaredisconnected |