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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 3, Pages 701–705
(Mi smj2564)
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This article is cited in 2 scientific papers (total in 2 papers)
On abelian groups with right-invariant isometries
A. R. Chekhlov Tomsk State University, Tomsk, Russia
Abstract:
We describe the reduced periodically complete groups, algebraically compact groups, and torsion-free completely decomposable groups with right-invariant monomorphisms preserving the $p$-heights of the elements of the group under study.
Keywords:
automorphism, pure subgroup, $p$-height, right invariance of isometries, Ulm–Kaplansky invariants.
Received: 04.06.2013
Citation:
A. R. Chekhlov, “On abelian groups with right-invariant isometries”, Sibirsk. Mat. Zh., 55:3 (2014), 701–705; Siberian Math. J., 55:3 (2014), 574–577
Linking options:
https://www.mathnet.ru/eng/smj2564 https://www.mathnet.ru/eng/smj/v55/i3/p701
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Abstract page: | 385 | Full-text PDF : | 80 | References: | 76 | First page: | 12 |
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