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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

The normal extensions of subgroup topologies


Authors: Bradd Clark and Victor Schneider
Journal: Proc. Amer. Math. Soc. 97 (1986), 163-166
MSC: Primary 22A05
DOI: https://doi.org/10.1090/S0002-9939-1986-0831407-9
MathSciNet review: 831407
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Abstract: Let $ H$ be a topological group contained in a group $ G$. A topology which makes $ G$ a topological group inducing the given topology on $ H$ is called an extending topology. The set of all extending topologies forms a complete semilattice in the lattice of group topologies on $ G$. The structure of this semilattice is studied by considering normal subgroups which intersect $ H$ in the identity.


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DOI: https://doi.org/10.1090/S0002-9939-1986-0831407-9
Keywords: Lattice, group topologies
Article copyright: © Copyright 1986 American Mathematical Society