On the generating graphs of symmetric groups

Date

2018-07-01

Author

Erdem, Fuat

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Let S-n and A(n) be the symmetric and alternating groups of degree n, respectively. Breuer, Guralnick, Lucchini, Maroti and Nagy proved that the generating graphs Gamma(S-n) and Gamma(A(n)) are Hamiltonian for sufficiently large n. However, their proof provided no information as to how large n needs to be. We prove that the graphs Gamma(S-n) and Gamma(A(n)) are Hamiltonian provided that n (3) 107.

Subject Keywords

Algebra and Number Theory

URI

https://hdl.handle.net/11511/57911

Journal

JOURNAL OF GROUP THEORY

DOI

https://doi.org/10.1515/jgth-2018-0004

Collections

Department of Mathematics, Article

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Citation Formats

F. Erdem, “On the generating graphs of symmetric groups,” JOURNAL OF GROUP THEORY, pp. 629–649, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/57911.