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math.GR2026
Maximal subgroups of homeomorphism groups
S. Bardyla, L. Elliott, Y. Péresse
We show that the homeomorphism groups of the following spaces have precisely maximal subgroups: the rational numbers , the Baire space $\mathbb{N}^{\…
math.GR2025
A note on intrinsic topologies of groups
S. Bardyla, L. Elliott, J. D. Mitchell +1
We investigate topologies on groups which arise naturally from their algebraic structure, including the Frechét-Markov, Hausdorff-Markov, and various kinds of Zariski topologies. A…
math.GR2023
Topological embeddings into transformation monoids
S. Bardyla, L. Elliott, J. D. Mitchell +1
In this paper we consider the questions of which topological semigroups embed topologically into the full transformation monoid or the symmetric inverse m…