Previous formulations of group theory in ACL2 and Nqthm, based on either "encapsulate" or "defn-sk", have been limited by their failure to provide a path proof induction the order group, which is required for most interesting results this domain beyond Lagrange's Theorem (asserting divisibility that subgroup). We describe an alternative approach finite remedies deficiency, explicit representati...

Under reasonable assumptions, a group action on module extends to the minimal free resolutions of module. Explicit descriptions these actions can lead better understanding by providing, for example, convenient expressions their differentials or alternative characterizations Betti numbers. This article introduces an algorithm computing characters finite groups acting finitely generated graded mo...