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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
MDPI AG
2021-08-01
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Series: | Mathematics |
Subjects: | |
Online Access: | https://www.mdpi.com/2227-7390/9/17/2060 |
Summary: | 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. |
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ISSN: | 2227-7390 |