Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran.
10.22061/jdma.2025.12206.1142
Abstract
For a finite group G, the prime order element graph of G, is defined as follows: the vertex set is the elements of G and two distinct vertices a and b are adjacent if and only if order of ab is prime. This graph is denoted by \Gamma(G). In this paper, we prove that the alternating groups A_4 and A_5, all groups of order pq, where p and q are prime numbers, and cyclic groups Z_p of prime order are uniquely characterized by the prime order element graph.
Momen, Z. (2026). Characterization of some finite groups by prime order element graph. Journal of Discrete Mathematics and Its Applications, 11(1), 81-85. doi: 10.22061/jdma.2025.12206.1142
MLA
Momen, Z. . "Characterization of some finite groups by prime order element graph", Journal of Discrete Mathematics and Its Applications, 11, 1, 2026, 81-85. doi: 10.22061/jdma.2025.12206.1142
HARVARD
Momen, Z. (2026). 'Characterization of some finite groups by prime order element graph', Journal of Discrete Mathematics and Its Applications, 11(1), pp. 81-85. doi: 10.22061/jdma.2025.12206.1142
CHICAGO
Z. Momen, "Characterization of some finite groups by prime order element graph," Journal of Discrete Mathematics and Its Applications, 11 1 (2026): 81-85, doi: 10.22061/jdma.2025.12206.1142
VANCOUVER
Momen, Z. Characterization of some finite groups by prime order element graph. Journal of Discrete Mathematics and Its Applications, 2026; 11(1): 81-85. doi: 10.22061/jdma.2025.12206.1142
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