Grigorian, S. A.; Gumerov, R. N.; Kazantsev, A. V. Group structure in finite coverings of compact solenoidal groups. (English) Zbl 0968.22002 Lobachevskii J. Math. 6, 39-46 (2000). It is shown that for any \(n\)-fold covering \(p:X\to G\) of a compact solenoidal group \(G\) by a connected topological space \(X\) the space \(X\) admits a compatible topological group structure turning \(p\) into a homomorphism between compact Abelian groups. A topological group \(G\) is solenoidal provided it admits a continuous group homomorphism \(h:\mathbb R\to G\) from the additive group of real numbers whose image \(h(\mathbb R)\) is dense in \(G\). Reviewer: Taras Banakh (Lviv) Cited in 1 ReviewCited in 6 Documents MSC: 22A05 Structure of general topological groups 57M10 Covering spaces and low-dimensional topology Keywords:solenoidal group; covering; topological group structure PDF BibTeX XML Cite \textit{S. A. Grigorian} et al., Lobachevskii J. Math. 6, 39--46 (2000; Zbl 0968.22002) Full Text: EMIS EuDML