On nilpotency of higher commutator subgroups of a finite soluble group
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DOI: 10.1007/s00013-020-01514-8
Abstract: Let G be a finite soluble group and $$G^{(k)}$$ G ( k ) the k th term of the derived series of G . We prove that $$G^{(k)}$$ G ( k ) is nilpotent if… read more here.
Keywords: higher commutator; finite soluble; nilpotency higher; soluble group ... See more keywords
Higher commutator conditions for extensions in Mal'tsev categories
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DOI: 10.1016/j.jalgebra.2018.09.002
Abstract: Abstract We define a Galois structure on the category of pairs of equivalence relations in an exact Mal'tsev category, and characterize central and double central extensions in terms of higher commutator conditions. These results generalize… read more here.
Keywords: commutator conditions; tsev categories; higher commutator; mal tsev ... See more keywords