The Lengths of Certain Real Conjugacy Classes and the Related Prime Graph
Let <i>G</i> be a finite group. In this paper, we study how certain arithmetical conditions on the conjugacy class lengths of real elements of <i>G</i> influence the structure of <i>G</i>. In particular, a new type of prime graph is introduced and studied. We obta...
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doaj-46202082fc2a406395878ace72e533052021-09-09T13:52:13ZengMDPI AGMathematics2227-73902021-08-0192060206010.3390/math9172060The Lengths of Certain Real Conjugacy Classes and the Related Prime GraphSiqiang Yang0Xianhua Li1School of Mathematical Science, Guizhou Normal University, Huaxi District, GuiYang 550000, ChinaSchool of Mathematical Science, Guizhou Normal University, Huaxi District, GuiYang 550000, ChinaLet <i>G</i> be a finite group. In this paper, we study how certain arithmetical conditions on the conjugacy class lengths of real elements of <i>G</i> influence the structure of <i>G</i>. In particular, a new type of prime graph is introduced and studied. We obtain a series of theorems which generalize some existed results.https://www.mdpi.com/2227-7390/9/17/2060real elementsprimary elementsconjugacy class lengthsprime graph<b>P</b>-groups |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Siqiang Yang Xianhua Li |
spellingShingle |
Siqiang Yang Xianhua Li The Lengths of Certain Real Conjugacy Classes and the Related Prime Graph Mathematics real elements primary elements conjugacy class lengths prime graph <b>P</b>-groups |
author_facet |
Siqiang Yang Xianhua Li |
author_sort |
Siqiang Yang |
title |
The Lengths of Certain Real Conjugacy Classes and the Related Prime Graph |
title_short |
The Lengths of Certain Real Conjugacy Classes and the Related Prime Graph |
title_full |
The Lengths of Certain Real Conjugacy Classes and the Related Prime Graph |
title_fullStr |
The Lengths of Certain Real Conjugacy Classes and the Related Prime Graph |
title_full_unstemmed |
The Lengths of Certain Real Conjugacy Classes and the Related Prime Graph |
title_sort |
lengths of certain real conjugacy classes and the related prime graph |
publisher |
MDPI AG |
series |
Mathematics |
issn |
2227-7390 |
publishDate |
2021-08-01 |
description |
Let <i>G</i> be a finite group. In this paper, we study how certain arithmetical conditions on the conjugacy class lengths of real elements of <i>G</i> influence the structure of <i>G</i>. In particular, a new type of prime graph is introduced and studied. We obtain a series of theorems which generalize some existed results. |
topic |
real elements primary elements conjugacy class lengths prime graph <b>P</b>-groups |
url |
https://www.mdpi.com/2227-7390/9/17/2060 |
work_keys_str_mv |
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_version_ |
1717759719039303680 |