Abelian subgroup separability of certain generalized free products of free or finitely generated nilpotent groups
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DOI: 10.1016/j.jpaa.2016.06.004
Abstract: Abstract In this paper we prove that certain generalized free products of abelian subgroup separable groups, amalgamating an infinite cyclic subgroup, are abelian subgroup separable. Applying this, we derive that tree products of free groups… read more here.
Keywords: subgroup; products free; free products; certain generalized ... See more keywords
On certain generalized matrix methods of convergence in (ℓ)-groups
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DOI: 10.1515/ms-2017-0021
Abstract: Abstract We introduce a convergence of weight g: ℕ → [0, ∞) where g(n) → ∞ and n/g(n) ↛ 0 with respect to a summability matrix method A for sequences (which generalizes the notion of… read more here.
Keywords: certain generalized; matrix; matrix methods; generalized matrix ... See more keywords