Upper bound for the diameter of the Cayley graph of the crown product of two alternating groups
1 Department of Algebra and Informatics, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords:
the Cayley graph, the crown product
Abstract
The upper bound of diameter of Cayley graph is obtained for wreath product of two alternating groups regarding to mininal systems of generators.
References
[1] Zavodya M.V., Sikora V.S. Two-element systems of generators of the crown product of two alternating groups / / Bulletin of the Kyiv University. Series: Phys.-Math. Sciences. - 2002. - Issue 2.- P.54-63.
[2] Sikora V.S. Diameter of the Cayley graph of the crown product of two symmetric groups for a two-element system of generators // Nauk. visn. Chernivtsi un-tu: 3b. nauk. prac. Mathematics. - Chernivtsi: ChDU, 2000. - Issue 76. - P.99-105.
[3] Picard S. On the bases of the symmetric group / / Cybernetic collection, M.: Mir, 1965. - Issue 1. - P.7-34.
Cite
- ACS Style
- Sikora, V.S. Upper bound for the diameter of the Cayley graph of the crown product of two alternating groups. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Sikora VS. Upper bound for the diameter of the Cayley graph of the crown product of two alternating groups. Bukovinian Mathematical Journal. 2018; 1(150).
- Chicago/Turabian Style
- Vira Stepanivna Sikora. 2018. "Upper bound for the diameter of the Cayley graph of the crown product of two alternating groups". Bukovinian Mathematical Journal. 1 no. 150.
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