Geodesic
Properties of final unrefinable chains of groups topologies
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2010), pp. 3-19 
V. I. Arnautov. Properties of final unrefinable chains of groups topologies. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2010), pp. 3-19. http://geodesic.mathdoc.fr/item/BASM_2010_2_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Let $G$ be a nilpotent group and $(\mathfrak M,)$ be the lattice of all group topologies or the lattice of all group topologies in each of which the group $G$ possesses a basis of neighborhood of unit consisting of subgroups. If $\tau$ and $\tau'$ are group topologies from $\mathfrak M$ such that $\tau=\tau_0\prec_\mathfrak M\tau_1\prec_\mathfrak M\ldots\prec_\mathfrak M\tau_n=\tau'$, then $k\leq n$ for any chain $\tau=\tau'_0\tau'_1\ldots\tau'_k=\tau'$ of topologies from $\mathfrak M$.

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