On the covering number of loops

DOI10.1016/j.exmath.2015.10.004zbMath1375.20064OpenAlexW2228968150MaRDI QIDQ346266

Stephen M. III Gagola, Luise-Charlotte Kappe

Publication date: 5 December 2016

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2015.10.004

zbMATH Keywords

loopscovering numberfinite coveringsidempotent quasigroups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Loops, quasigroups (20N05)

Related Items

Finite coverings of semigroups and related structures, The covering numbers of rings, A new infinite family of σ -elementary rings

Cites Work

• Coverings of the smallest Paige loop.
• Simple power associative loops with exactly one covering.
• Homogeneous quasigroups
• The symmetric group of degree six can be covered by 13 and no fewer proper subgroups.
• On loops covered by subloops.
• Su alcuni gruppi finiti che sono somma di cinque sottogruppi
• Groups as Unions of Proper Subgroups
• Groups as the union of proper subgroups.
• Subgroup coverings of some linear groups
• On $n$-Sum Groups.
• FINITE GROUPS THAT ARE THE UNION OF AT MOST 25 PROPER SUBGROUPS
• Groups Which are the Union of Three Subgroups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item