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math.GR2006★ 7 cited
Hereditarily non-topologizable groups
Gábor Lukács
A group G is non-topologizable if the only Hausdorff group topology that G admits is the discrete one. Is there an infinite group G such that H/N is non-topologizable for every sub…
math.GR2002★ 2 cited
On sequentially h-complete groups
Gábor Lukács
A topological group is {\em sequentially -complete} if all the continuous homomorphic images of are sequentially complete. In this paper we give necessary and sufficient…
math.GR2001
Applications of Commutator-Type Operators to -Groups
Gabor Lukacs
For a p-group G admitting an automorphism of order with exactly fixed points such that has exactly fixed points, we prove that G has a fully-inv…