Finite groups for which all proper subgroups have consecutive character degrees
Huppert and Qian et al. classified finite groups for which all irreducible character degrees are consecutive. The aim of this paper is to determine the structure of finite groups whose irreducible character degrees of their proper subgroups are all consecutive.
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023289?viewType=HTML |
| _version_ | 1811176462785445888 |
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| author | Shitian Liu |
| author_facet | Shitian Liu |
| author_sort | Shitian Liu |
| collection | DOAJ |
| description | Huppert and Qian et al. classified finite groups for which all irreducible character degrees are consecutive. The aim of this paper is to determine the structure of finite groups whose irreducible character degrees of their proper subgroups are all consecutive. |
| first_indexed | 2024-04-10T19:51:55Z |
| format | Article |
| id | doaj.art-939baf2a3e3f4620914203cc69c05ad7 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-10T19:51:55Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-939baf2a3e3f4620914203cc69c05ad72023-01-28T02:01:06ZengAIMS PressAIMS Mathematics2473-69882023-01-01835745576210.3934/math.2023289Finite groups for which all proper subgroups have consecutive character degreesShitian Liu 0School of Mathematics, Lianhu Campus, Sichuan University of Arts and Science, Dazhou, Sichuan 635000, ChinaHuppert and Qian et al. classified finite groups for which all irreducible character degrees are consecutive. The aim of this paper is to determine the structure of finite groups whose irreducible character degrees of their proper subgroups are all consecutive.https://www.aimspress.com/article/doi/10.3934/math.2023289?viewType=HTMLsimple groupproper subgroupcharacter degreesolvable group |
| spellingShingle | Shitian Liu Finite groups for which all proper subgroups have consecutive character degrees AIMS Mathematics simple group proper subgroup character degree solvable group |
| title | Finite groups for which all proper subgroups have consecutive character degrees |
| title_full | Finite groups for which all proper subgroups have consecutive character degrees |
| title_fullStr | Finite groups for which all proper subgroups have consecutive character degrees |
| title_full_unstemmed | Finite groups for which all proper subgroups have consecutive character degrees |
| title_short | Finite groups for which all proper subgroups have consecutive character degrees |
| title_sort | finite groups for which all proper subgroups have consecutive character degrees |
| topic | simple group proper subgroup character degree solvable group |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023289?viewType=HTML |
| work_keys_str_mv | AT shitianliu finitegroupsforwhichallpropersubgroupshaveconsecutivecharacterdegrees |