Geodesic
The Abelian Case of Solitar's Conjecture on Infinite Nielsen Transformations
Canadian mathematical bulletin, Tome 28 (1985) no. 2, pp. 223-230

Voir la notice de l'article provenant de la source Cambridge University Press

The 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.
DOI : 10.4153/CMB-1985-026-x
Mots-clés : 20E05, free group, Nielsen transformation, automorphism, elementary simultaneous Nielsen transformation 
Macedonska-Nosalska, Olga. The Abelian Case of Solitar's Conjecture on Infinite Nielsen Transformations. Canadian mathematical bulletin, Tome 28 (1985) no. 2, pp. 223-230. doi: 10.4153/CMB-1985-026-x
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