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On finite loops whose inner mapping groups are direct products of dihedral groups and abelian groups
Authors: E. Leppala, M. Niemenmaa
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Abstract
We show that a finite loop, whose inner mapping group is a direct product of a dihedral group and an abelian group, is solvable provided that the components in the direct product have coprime orders.Fulltext
– 0.16 Mb
Contents
- Bipolar fuzzy Lie superalgebras
- Recursively r-differentiable quasigroups within S-systems and MDS-codes
- A characterization of binary invertible algebras of various types of linearity
- Generalized IP-loops
- D-loops
- Prime and weakly prime ideals in semirings
- Congruences on completely inverse AG**-groupoids
- Construction of subdirectly irreducible SQS-skeins
- Clifford congruences on an idempotent-surjective R-semigroup
- A new characterization of Osborn-Buchsteiner loops
- Left quasi-regular and intra-regular ordered semigroups using fuzzy ideals
- On fuzzy ordered semigroups
- On finite loops whose inner mapping groups are direct products of dihedral groups and abelian groups
- New signature scheme based on difficulty of finding roots
- Some remarks on Abel-Grassmann's groupsC
- Polyadic groups and automorphisms of cyclic extensions
