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Non-abelian discrete gauge symmetries can provide the inflaton with a flatpotential even when one takes into account gravitational strength effects. Thediscreteness of the symmetries also provide special field values whereinflation can end via a hybrid type mechanism. An interesting feature of thismethod is that it can naturally lead to extremely flat potentials and so, inprinciple, to inflation at unusually low energy scales. Two examples ofeffective field theories with this mechanism are given, one with a hybrid exitand one with a mutated hybrid exit. They include an explicit example in whichthe single field consistency condition is violated.Comment: 24 pages, uses revtex.sty, submitted to PRD (Nov. 1999) Final version  to appear in PRD. Background information on supergravity expande

Inflationary models with a flat potential enforced by non-Abelian discrete gauge symmetries