Resize result involution graphs of some finite groups

Zaid Manaf Kareem; Haval M. Mohammed Salih

doi:10.21271/ZJPAS.37.4.3

Authors

Zaid Manaf Kareem Department of Mathematics, Faculty of Science, Soran University, Kawa St.-Soran, Erbil, Iraq.
Haval M. Mohammed Salih Department of Mathematics, Faculty of Science, Soran University, Kawa St.-Soran, Erbil, Iraq.

DOI:

https://doi.org/10.21271/ZJPAS.37.4.3

Keywords:

Diameter, Result Involution Graph, connectedness

Abstract

The resize result involution graph of a finite group , is a simple undirected graph whose vertices are the conjugacy classes of and two distinct vertices are adjacent if their representative product is a non-trivial involution. In this paper, we describe an algorithm to obtain the resize result involution graphs. Also, we prove that the resize result involution graphs for , , the Janko groups , the Held group and the exceptional group ² are connected with diameter at most and girth . We find some properties of the resize result involution graphs. The properties of these graphs are obtained by using GAP and YAGs packages.

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