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Azizolah Azad

Azizolah Azad

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0002-7950-0977
Education: PhD.
ScopusId: 14420904600
Faculty: Science
Address: Arak University
Phone:

Research

Title
On the NSE Characterization of the Alternative Simple Group A9
Type
Presentation
Keywords
element order, finite simple group, prime graph.
Year
2023
Researchers Sakineh Rahbariyan ، Azizolah Azad

Abstract

For a group G, e(G) and sm(G) are denoted the set of orders of elements and the number of elements of order m in G, respectively. Let nse(G) = fsm(G) j m 2 e(G)g. An arbitrary nite group M is NSE characterization if, for every group G, the equality nse(G) = nse(M) implies that G = M. In this paper, we are going to show that the non-Abelian nite simple group A9, is characterizable by NSE.