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Densely locally minimal groups
Wenfei Xi, Dikran Dikranjan, Menachem Shlossberg +1
We study locally compact groups having all dense subgroups (locally) minimal. We call such groups densely (locally) minimal. In 1972 Prodanov proved that the infinite compact abeli…
Algebraic entropy on strongly compactly covered groups
Anna Giordano Bruno, Menachem Shlossberg, Daniele Toller
We introduce a new class of locally compact groups, namely the strongly compactly covered groups, which are the Hausdorff topological groups such that every element of is c…
Hereditarily minimal topological groups
Wenfei Xi, Dikran Dikranjan, Menachem Shlossberg +1
We study locally compact groups having all subgroups minimal. We call such groups hereditarily minimal. In 1972 Prodanov proved that the infinite hereditarily minimal compact abeli…