Endocyclic $2$-generated groups of order $256$ of exponent $16$

Raievska Iryna; Raievska Maryna

doi:https://doi.org/10.31861/bmj2025.02.16

Raievska Iryna ¹ , Raievska Maryna ¹

¹ Department of Algebra and Topology, Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv, 01001, Ukraine

DOI: https://doi.org/10.31861/bmj2025.02.16

Keywords: $2$-generated group, endocyclic group, local nearring

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Abstract

Using GAP, the SONATA and LocalNR packages, we have defined all endocyclic $2$-generated groups $G$ of order $256$ and exponent $16$, and listed the groups that can not be additive groups of local nearrings.

References

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Published Online 12/16/2025

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ACS Style: Raievska, I.; Raievska, M. Endocyclic $2$-generated groups of order $256$ of exponent $16$. Bukovinian Mathematical Journal. 2025, 13 https://doi.org/https://doi.org/10.31861/bmj2025.02.16
AMA Style: Raievska I, Raievska M. Endocyclic $2$-generated groups of order $256$ of exponent $16$. Bukovinian Mathematical Journal. 2025; 13(2). https://doi.org/https://doi.org/10.31861/bmj2025.02.16
Chicago/Turabian Style: Iryna Raievska, Maryna Raievska. 2025. "Endocyclic $2$-generated groups of order $256$ of exponent $16$". Bukovinian Mathematical Journal. 13 no. 2. https://doi.org/https://doi.org/10.31861/bmj2025.02.16

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