A nuclear construction of loops with small inner mapping groups.

DOI10.1007/BF03173499zbMath1145.20037OpenAlexW1982260006MaRDI QIDQ2479816

Aleš Drápal

Publication date: 3 April 2008

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03173499

zbMATH Keywords

cyclic groupsinner mapping groupsleft conjugacy closed loopsnuclei of loops

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Structure theory of algebraic structures (08A05)

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On Finite Nonabelian Loop Capable Groups

Cites Work

• On loops with cyclic inner mappings groups
• On loop identities that can be obtained by a nuclear identification.
• On connected transversals to nonabelian subgroups
• On connected transversals to subgroups whose order is a product of two primes
• Orbits of inner mapping groups
• On left conjugacy closed loops with a nucleus of index two.
• Structural interactions of conjugacy closed loops
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