Geodesic
Properties of covers in the lattice of group topologies for nilpotent groups
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2012), pp. 38-44 Cet article a éte moissonné depuis la source Math-Net.Ru

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A nilpotent group $\widehat G$ and two group topologies $\widehat\tau''$ and $\widehat\tau*$ on $\widehat G$ are constructed such that $\widehat\tau*$ is a coatom in the lattice of all group topologies of the group $\widehat G$ and such that between $\inf\{\widehat\tau'',\widehat\tau_d\}$ and $\inf\{\widehat\tau'',\widehat\tau*\}$ there exists an infinite chain of group topologies. 
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     author = {V. I. Arnautov},
     title = {Properties of covers in the lattice of group topologies for nilpotent groups},
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}
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V. I. Arnautov. Properties of covers in the lattice of group topologies for nilpotent groups. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2012), pp. 38-44. http://geodesic.mathdoc.fr/item/BASM_2012_3_a3/

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