Strong complete mappings for 3-groups

DOI10.1016/j.disc.2021.112643OpenAlexW3203599426MaRDI QIDQ2237226

Yanyan Li

Publication date: 27 October 2021

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

Full work available at URL: https://doi.org/10.1016/j.disc.2021.112643

zbMATH Keywords

strong complete mapping3-groupstrongly admissible

Mathematics Subject Classification ID

Finite fields and commutative rings (number-theoretic aspects) (11Txx) Designs and configurations (05Bxx) Abstract finite groups (20Dxx)

Cites Work

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• The existence of strong complete mappings
• Reduction of the Hall-Paige conjecture to sporadic simple groups.
• On the nonexistence of Knut Vik designs for all even orders
• A complete solution to the existence and nonexistence of Knut Vik designs and orthogonal Knut Vik designs
• Orthogonal starters in finite abelian groups
• Permutations of finite fields for check digit systems
• The Hall-Paige conjecture, and synchronization for affine and diagonal groups
• The admissibility of sporadic simple groups.
• The n-Queens Problem
• A Remark on Infinite Groups
• Complete mappings of finite groups

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