On diameters estimations of the commuting graphs of Sylow $p$-subgroups of the symmetric groups | Zendy

Yu. Yu. Leshchenko | Zendy; L. V. Zoria | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On diameters estimations of the commuting graphs of Sylow $p$-subgroups of the symmetric groups

Author(s) -

Yu. Yu. Leshchenko,

L. V. Zoria

Publication year - 2013

Publication title -

carpathian mathematical publications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.63

H-Index - 4

eISSN - 2313-0210

pISSN - 2075-9827

DOI - 10.15330/cmp.5.1.70-78

Subject(s) - mathematics , sylow theorems , social connectedness , combinatorics , graph , discrete mathematics , group (periodic table) , finite group , chemistry , psychology , organic chemistry , psychotherapist

The commuting graph of a group $G$ is an undirected graph whose vertices are non-central elements of $G$ and two distinct vertices $x,y$ are adjacent if and only if $xy=yx$. This article deals with the properties of the commuting graphs of Sylow $p$-subgroups of the symmetric groups. We define conditions of connectedness of respective graphs and give estimations of the diameters if graph is connected.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research