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We extend a systolic inequality of Guth for Riemannian manifolds of maximal$\mathbb{Z}_2$ cup-length to piecewise Riemannian complexes of dimension 2. Asa consequence we improve the previous best universal lower bound for thesystolic area of groups for a large class of groups, including free abelian andsurface groups, most of irreducible 3-manifold groups, non-free Artin groupsand Coxeter groups (or more generally), groups containing an element of order2.

A systolic inequality for 2-complexes of maximal cup-length and systolic area of groups