On root-class residuality of generalized free products

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dc.creatorAzarov, D. N.
dc.creatorTieudjo, D.
dc.date2004-08-20
dc.date.accessioned2026-07-07T05:11:26Z
dc.date.available2026-07-07T05:11:26Z
dc.descriptionRoot-class residuality of free product of root-class residual groups is demonstrated. A sufficient condition for root-class residuality of generalized free product $G$ of groups $A$ and $B$ amalgamating subgroups $H$ and $K$ through the isomorphism $ϕ$ is derived. For the particular case when $A=B$, $H=K$ and $ϕ$ is the identity mapping, it is shown that group $G$ is root-class residual if and only if $A$ is root-class residual and subgroup $H$ of $A$ is root-class closed. These results are extended to generalized free product of infinitely many groups amalgamating a common subgroup.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0408277
dc.identifierhttp://arxiv.org/abs/math/0408277
dc.identifierNauch. Trudy IvGU, vol. 5, 2002, p.6-10 (in Russian)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72238
dc.subjectGroup Theory
dc.subject20E06, 20E26, 20F05, 20F19
dc.titleOn root-class residuality of generalized free products
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