The Abelian Case of Solitar's Conjecture on Infinite Nielsen Transformations
1985 ◽
Vol 28
(2)
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pp. 223-230
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AbstractThe paper proves that the group of infinite bounded Nielsen transformations is generated by elementary simultaneous Nielsen transformations modulo the subgroup of those transformations which are equivalent to the identical transformation while acting in a free abelian group. This can be formulated somewhat differently: the group of bounded automorphisms of a free abelian group of countably infinite rank is generated by the elementary simultaneous automorphisms. This proves D. Solitar's conjecture for the abelian case.
1976 ◽
Vol 15
(3)
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pp. 439-451
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2018 ◽
Vol 167
(02)
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pp. 229-247
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2020 ◽
Vol 29
(01)
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pp. 1950097
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On Determinability of a Completely Decomposable Torsion-Free Abelian Group by its Automorphism Group
2018 ◽
Vol 230
(3)
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pp. 372-376
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1980 ◽
Vol 23
(1)
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pp. 103-121
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