Dekui Peng

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20232026

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math.GN2023

The Lattice of Group Topologies

Dekui Peng

For an infinite group $G$ , the poset $L_{G}$ of group topologies constitutes a complete lattice. Although $L_{G}$ is modular when $G$ is abelian, this property fail…

math.GN2023

Minimality of the inner automorphism group

Dekui Peng, Menachem Shlossberg

By [6], a minimal group $G$ is called $z$ -minimal if $G / Z (G)$ is minimal. In this paper, we present the $z$ -Minimality Criterion for dense subgroups with some applications to topol…