Finite groups whose character degree graphs coincide with their prime graphs

Erkoç, Temha, Yilmaztürk, Utku, and Güloğlu, İsmail Ş.. "Finite groups whose character degree graphs coincide with their prime graphs." Czechoslovak Mathematical Journal 68.3 (2018): 647-656. <http://eudml.org/doc/294198>.

@article{Erkoç2018,
abstract = {In the literature, there are several graphs related to a finite group $G$. Two of them are the character degree graph, denoted by $\Delta (G)$, and the prime graph, $\Gamma (G)$. In this paper we classify all finite groups whose character degree graphs are disconnected and coincide with their prime graphs. As a corollary, we find all finite groups whose character degree graphs are square and coincide with their prime graphs.},
author = {Erkoç, Temha, Yilmaztürk, Utku, Güloğlu, İsmail Ş.},
journal = {Czechoslovak Mathematical Journal},
keywords = {finite groups; character degree graph; prime graph},
language = {eng},
number = {3},
pages = {647-656},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Finite groups whose character degree graphs coincide with their prime graphs},
url = {http://eudml.org/doc/294198},
volume = {68},
year = {2018},
}

TY - JOUR
AU - Erkoç, Temha
AU - Yilmaztürk, Utku
AU - Güloğlu, İsmail Ş.
TI - Finite groups whose character degree graphs coincide with their prime graphs
JO - Czechoslovak Mathematical Journal
PY - 2018
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 3
SP - 647
EP - 656
AB - In the literature, there are several graphs related to a finite group $G$. Two of them are the character degree graph, denoted by $\Delta (G)$, and the prime graph, $\Gamma (G)$. In this paper we classify all finite groups whose character degree graphs are disconnected and coincide with their prime graphs. As a corollary, we find all finite groups whose character degree graphs are square and coincide with their prime graphs.
LA - eng
KW - finite groups; character degree graph; prime graph
UR - http://eudml.org/doc/294198
ER -