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math.GR2004★ 2 cited
Dimension filtration on loops
J. Mostovoy, J. M. Pérez-Izquierdo
We show that the graded group associated to the dimension filtration on a loop acquires the structure of a Sabinin algebra after being tensored with a field of characteristic zero.…
math.GR2004
On the notion of lower central series for loops
Jacob Mostovoy
The commutator calculus is one of the basic tools in group theory. However, its extension to the non-associative context, based on the usual definition of the lower central series…