Conjugacy closed loops and their multiplication groups.
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Publication:1427375
DOI10.1016/j.jalgebra.2003.06.011zbMath1047.20049OpenAlexW2067513056MaRDI QIDQ1427375
Publication date: 14 March 2004
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.06.011
Related Items (17)
Power-associative, conjugacy closed loops. ⋮ On extraspecial left conjugacy closed loops. ⋮ All finite automorphic loops have the elementwise Lagrange property. ⋮ On applications of bipartite graph associated with algebraic structures ⋮ Holomorphy of Osborn loops ⋮ On Nuclearly Nilpotent Loops of Finite Exponent ⋮ Multiplication groups of commutative automorphic \(p\)-loops of odd order are \(p\)-groups. ⋮ On three cryptographic identities in left universal Osborn loops ⋮ ALL AUTOMORPHIC LOOPS OF ORDER p2 FOR SOME PRIME p ARE ASSOCIATIVE ⋮ Structural interactions of conjugacy closed loops ⋮ On loop identities that can be obtained by a nuclear identification. ⋮ On left conjugacy closed loops in which the left multiplication group is normal. ⋮ On loops rich in automorphisms that are abelian modulo the nucleus ⋮ On Two Cryptographic Identities In Universal Osborn Loops ⋮ BUCHSTEINER LOOPS ⋮ Normality, nuclear squares and Osborn identities ⋮ Left conjugacy closed loops of nilpotency class two.
Cites Work
- Unnamed Item
- Orbits of inner mapping groups
- Multiplication groups of loops and projective semilinear transformations in dimension two
- Multiplication groups of finite loops that fix at most two points
- Diassociativity in Conjugacy Closed Loops
- Some Special Conjugacy Closed Loops
- A Class of Loops Which are Isomorphic to all Loop Isotopes
- Loops as Invariant Sections in Groups, and their Geometry
- The structure of conjugacy closed loops
- A Class of Loops with the Isotopy-Isomorphy Property
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