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      The group generated by Riordan involutions

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          Abstract

          We prove that any element in the group generated by the Riordan involutions is the product of at most four of them. We also give a description of this subgroup as a semidirect product of a special subgroup of the commutator subgroup and the Klein four-group.

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          Riordan arrays and combinatorial sums

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            Simple proofs of open problems about the structure of involutions in the Riordan group

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              Products of involutions

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                Author and article information

                Journal
                19 March 2018
                Article
                1803.06872
                a239e4dd-c2fc-4c64-90de-aff2eeb0e536

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                20H20, 15B99
                18 pages
                math.GR

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