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On loops rich in automorphisms that are abelian modulo the nucleus
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Piroska Csörgő
Published/Copyright:
March 12, 2009
Abstract
We prove that a loop Q has to be conjugacy closed modulo Z(Q) whenever all mappings L(x,y) and R(x,y) are automorphisms, N(Q) ⊴ Q, Q/N(Q) is an abelian group, and 〈Lx; x ∈ Q〉 is a normal subgroup of the multiplication group.
Received: 2007-03-14
Published Online: 2009-03-12
Published in Print: 2009-May
© de Gruyter 2009
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Articles in the same Issue
- On the classification of infinite-dimensional irreducible Hermitian-symmetric affine coadjoint orbits
- A partial generalization of the Helgason Conjecture to general bounded homogeneous domains
- Antisymmetric elements in group rings with an orientation morphism
- Gradient estimates for the eigenfunctions on compact manifolds with boundary and Hörmander Multiplier Theorem
- On loops rich in automorphisms that are abelian modulo the nucleus
- Minimal number of periodic points for C1 self-maps of compact simply-connected manifolds
- On a question of Bombieri and Bourgain
- Separate real analyticity and CR extendibility
- Coverings of Banach spaces: beyond the Corson theorem
- Genus 2 curves that admit a degree 5 map to an elliptic curve
