# inverseRingActors -- get inverse of action on ring generators

## Synopsis

• Usage:
inverseRingActors(A)
• Inputs:
• A, an instance of the type Action,
• Optional inputs:
• Sub => ..., default value true, act on ring via substitutions (rather than matrices)
• Outputs:
• G, a list, of group elements

## Description

This function is provided by the package BettiCharacters.

Returns a List of group elements acting on the vector space spanned by the variables of the polynomial ring associated with the object acted upon. These are the inverses of the elements originally defined by the user when constructing the action. By default, these elements are expressed as one-row substitution matrices as those accepted by substitute. The optional input Sub may be used to return these elements as square matrices.