\indexentry{$G$-module}{2}
\indexentry{cohomology groups of $G$ with coefficients in $A$}{2}
\indexentry{long exact sequence of cohomology}{2}
\indexentry{homology groups of $G$ with coefficients in $A$}{3}
\indexentry{long exact sequence of homology}{3}
\indexentry{differential operator}{4}
\indexentry{differential group}{4}
\indexentry{derived group}{4}
\indexentry{graded differential group}{4}
\indexentry{differential group of cohomology type}{4}
\indexentry{differential group of homology type}{4}
\indexentry{admissible}{5}
\indexentry{group of $n$-cochains}{9}
\indexentry{group of $n$-cocycles}{9}
\indexentry{group of $n$-cycles}{9}
\indexentry{group of $n$-chains}{9}
\indexentry{complex}{9}
\indexentry{acyclic complex}{9}
\indexentry{augmented complex}{9}
\indexentry{standard diagram}{9}
\indexentry{dual complex}{10}
\indexentry{$G$-resolution}{10}
\indexentry{boundary maps}{10}
\indexentry{cell}{12}
\indexentry{bar resolution}{13}
\indexentry{homotopy}{13}
\indexentry{contracting homotopy}{14}
\indexentry{standard $G$-resolution}{15}
\indexentry{normalized bar resolution}{16}
\indexentry{homogeneous resolution}{17}
\indexentry{group of $n$-cochains of $G$ in $A$}{17}
\indexentry{group of $n$-cocycles}{17}
\indexentry{group of $n$-coboundaries}{17}
\indexentry{Schur multiplier}{18}
\indexentry{cohomological dimension}{18}
\indexentry{projective $R$-module}{19}
\indexentry{augmentation ideal}{23}
\indexentry{Schur multiplier}{24}
\indexentry{injective $R$-module}{24}
\indexentry{injective $R$-module}{24}
\indexentry{co-induced $R$-module}{24}
\indexentry{relatively injective $R$-module}{25}
\indexentry{relatively projective $R$-module}{25}
\indexentry{homomorphism of pairs}{29}
\indexentry{transitive}{29}
\indexentry{inflation}{32}
\indexentry{inflation-restriction sequence in dimension $n$}{32}