OAI/GroupTheory/PolycyclicRecognition/Algebra/FactorSystemGauge.lean
2 declarations, 0 contain sorry, 0 declared as axioms
Changing quotient lifts by an explicit kernel element
This permits inner corrections in the completed kernel without changing the extension. The correction need not belong to the original lattice.
- def
OAI.PolycyclicRecognition.NonabelianFactorSystem.gaugeline 15 - def
OAI.PolycyclicRecognition.NonabelianFactorSystem.gaugeEquivline 46Source documentation
Right multiplication by the lift correction is an exact group isomorphism.
def gaugeEquiv : FactorExtension (S.gauge b hb) ≃* FactorExtension S where …