New characterization of symmetric groups of prime degree
In this paper, will show that a symmetric group of prime degree p ≥ 5 is recognizable by its order and a special conjugacy class size of (p − 1)!.
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| Format: | Article |
| Language: | English |
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Sciendo
2017-08-01
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| Series: | Acta Universitatis Sapientiae: Mathematica |
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| Online Access: | https://doi.org/10.1515/ausm-2017-0001 |
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doaj-518dfa6b8e594bc783a8b2bcb3b3e14d2021-09-06T19:40:20ZengSciendoActa Universitatis Sapientiae: Mathematica2066-77522017-08-019151210.1515/ausm-2017-0001ausm-2017-0001New characterization of symmetric groups of prime degreeAsboei A. K.0Mohammadyari R.1Department of Mathematics, Farhangian University, Tehran, Iran (Islamic Republic of)Department of Mathematics, Buinzahra Branch, Islamic Azad University, Buin Zahra, Iran (Islamic Republic of)In this paper, will show that a symmetric group of prime degree p ≥ 5 is recognizable by its order and a special conjugacy class size of (p − 1)!.https://doi.org/10.1515/ausm-2017-0001finite groupconjugacy class lengthsymmetric group20d0820d60 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Asboei A. K. Mohammadyari R. |
| spellingShingle |
Asboei A. K. Mohammadyari R. New characterization of symmetric groups of prime degree Acta Universitatis Sapientiae: Mathematica finite group conjugacy class length symmetric group 20d08 20d60 |
| author_facet |
Asboei A. K. Mohammadyari R. |
| author_sort |
Asboei A. K. |
| title |
New characterization of symmetric groups of prime degree |
| title_short |
New characterization of symmetric groups of prime degree |
| title_full |
New characterization of symmetric groups of prime degree |
| title_fullStr |
New characterization of symmetric groups of prime degree |
| title_full_unstemmed |
New characterization of symmetric groups of prime degree |
| title_sort |
new characterization of symmetric groups of prime degree |
| publisher |
Sciendo |
| series |
Acta Universitatis Sapientiae: Mathematica |
| issn |
2066-7752 |
| publishDate |
2017-08-01 |
| description |
In this paper, will show that a symmetric group of prime degree p ≥ 5 is recognizable by its order and a special conjugacy class size of (p − 1)!. |
| topic |
finite group conjugacy class length symmetric group 20d08 20d60 |
| url |
https://doi.org/10.1515/ausm-2017-0001 |
| work_keys_str_mv |
AT asboeiak newcharacterizationofsymmetricgroupsofprimedegree AT mohammadyarir newcharacterizationofsymmetricgroupsofprimedegree |
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1717768787055345664 |