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Recently, Jablonski proved that, to a large extent, a simply connectedsolvable Lie group endowed with a left-invariant Ricci soliton metric can beisometrically embedded into the solvable Iwasawa group of a non-compactsymmetric space. Motivated by this result, we classify codimension onesubgroups of the solvable Iwasawa groups of irreducible symmetric spaces ofnon-compact type whose induced metrics are Ricci solitons. We also obtain theclassifications of codimension one Ricci soliton subgroups of Damek-Riccispaces and generalized Heisenberg groups.

Codimension one Ricci soliton subgroups of solvable Iwasawa groups