Selected facts on products of two involutions in the Riordan group
Abstract
An element of a group is called reversible if it is conjugate to its inverse, and strongly reversible if it can be expressed as a product of two involutions. We study strongly reversible elements in the Riordan group and in several of its important subgroups. We show that not every reversible element in the Riordan group is strongly reversible, and we investigate products of reversible elements in the Riordan group.
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