Trinomial coefficients, Fibonacci numbers and units of the group \(\mathcal{U}(\mathbb{Z} C_p)\)

DOI10.1016/j.disc.2021.112415zbMath1473.16030OpenAlexW3155600051MaRDI QIDQ2032742

Mari Sano, Patricia Massae Kitani

Publication date: 14 June 2021

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2021.112415

zbMATH Keywords

unitsgroup ringsFibonacci numberstrinomial coefficients

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Units, groups of units (associative rings and algebras) (16U60)

Cites Work

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• An introduction to group rings
• On the lacunary sum of trinomial coefficients
• The Dirichlet unit theorem, induced characters, and Whitehead groups of finite groups
• Some studies on cyclic determinants
• Group ring cryptography
• Euler's Ëxemplum Memorabile Inductionis Fallacis" and q-Trinomial Coefficients
• Generic units in abelian group rings

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