Multiplication groups of finite loops that fix at most two points

DOI10.1006/jabr.2000.8472zbMath0972.20039OpenAlexW1972206626MaRDI QIDQ1840612

Aleš Drápal

Publication date: 22 July 2001

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2000.8472

zbMATH Keywords

permutationsfixed pointsAbelian groupsmultiplication groupsfinite loopsinfinite loops

Mathematics Subject Classification ID

Finite abelian groups (20K01) Loops, quasigroups (20N05) General theory for finite permutation groups (20B05)

Related Items

Multiplication groups of loops and projective semilinear transformations in dimension two, Some Remarks on Two-Transitive Permutation Groups as Multiplication Groups of Quasigroups, Conjugacy closed loops and their multiplication groups., Structural interactions of conjugacy closed loops, On the group \(\mathrm{PSL}(n,q)\) as the multiplication group of a loop., On multiplication groups of relatively free quasigroups isotopic to Abelian groups, The Multiplication Group of an AG-group, Research problems from the 18th British Combinatorial Conference, Left conjugacy closed loops of nilpotency class two.

Cites Work

• Unnamed Item
• On multiplication groups of loops
• On connected transversals in the projective special linear group \(\text{PSL}(2,7)\)
• On conjugacy classes in finite loops
• Some Special Conjugacy Closed Loops
• A Class of Loops Which are Isomorphic to all Loop Isotopes
• Quasiprimitivity and quasigroups
• The group PSL(2,q) is not the multiplication group of a loop
• Multiplication groups of free loops. II
• Multiplication groups of free loops. I
• Finite classical groups and multiplication groups of loops
• Endliche Gruppen I