Lobachevskii journal of mathematics, Tome 6 (2000), pp. 39-46
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S. A. Grigoryan; R. N. Gumerov; A. V. Kazantsev. Group structure in finite coverings of compact solenoidal groups. Lobachevskii journal of mathematics, Tome 6 (2000), pp. 39-46. http://geodesic.mathdoc.fr/item/LJM_2000_6_a3/
@article{LJM_2000_6_a3,
author = {S. A. Grigoryan and R. N. Gumerov and A. V. Kazantsev},
title = {Group structure in finite coverings of compact solenoidal groups},
journal = {Lobachevskii journal of mathematics},
pages = {39--46},
year = {2000},
volume = {6},
language = {en},
url = {http://geodesic.mathdoc.fr/item/LJM_2000_6_a3/}
}
TY - JOUR
AU - S. A. Grigoryan
AU - R. N. Gumerov
AU - A. V. Kazantsev
TI - Group structure in finite coverings of compact solenoidal groups
JO - Lobachevskii journal of mathematics
PY - 2000
SP - 39
EP - 46
VL - 6
UR - http://geodesic.mathdoc.fr/item/LJM_2000_6_a3/
LA - en
ID - LJM_2000_6_a3
ER -
%0 Journal Article
%A S. A. Grigoryan
%A R. N. Gumerov
%A A. V. Kazantsev
%T Group structure in finite coverings of compact solenoidal groups
%J Lobachevskii journal of mathematics
%D 2000
%P 39-46
%V 6
%U http://geodesic.mathdoc.fr/item/LJM_2000_6_a3/
%G en
%F LJM_2000_6_a3
Let $p\colon X\to G$ be an $n$-fold covering of a compact solenoidal group $G$ by a connected topological space $X$. We prove that there exists a group structure in $X$ turning $p$ into a homomorphism between compact abelian groups.
