\indexentry{rational over $Q$ (variety)}{xiii} \indexentry{Q-rational}{xiii} \indexentry{generic (covering map)}{xiv} \indexentry{versal (covering map)}{xiv} \indexentry{torus}{6} \indexentry{split (torus)}{6} \indexentry{character group (of a torus)}{6} \indexentry{Scholz-Reichardt theorem}{9} \indexentry{Shafarevich's theorem}{9} \indexentry{S$_N$ - property}{10} \indexentry{separable (profinite group)}{15} \indexentry{Frattini (subgroup)}{16} \indexentry{normalizer}{17} \indexentry{type ($C_1$)}{19} \indexentry{type ($C_2$)}{19} \indexentry{thin (subset of $V(K)$)}{19} \indexentry{Hilbert property (of a variety)}{19} \indexentry{Hilbertian (field)}{19} \indexentry{absolutely irreducible variety}{20} \indexentry{restriction of scalars (functor)}{21} \indexentry{Irr(P) property}{23} \indexentry{sextic resolvent}{25} \indexentry{Hilbert's irreducibility theorem}{25} \indexentry{Irreducibility theorem (Hilbert)}{25} \indexentry{weak approximation property}{29} \indexentry{property (WA)}{29} \indexentry{property (WWA)}{29} \indexentry{weak weak approximation property}{29} \indexentry{K-unirational (variety)}{30} \indexentry{regular (extension)}{35} \indexentry{Gal$_T$ property}{35} \indexentry{property Gal$_T$}{35} \indexentry{permutation torus}{36} \indexentry{Morse function}{39} \indexentry{Abhyankar's conjecture}{42} \indexentry{double group trick}{43} \indexentry{Jordan's lemma}{45} \indexentry{Shih's theorem}{47} \indexentry{GAGA principle}{55} \indexentry{Chow's theorem}{55} \indexentry{Grauert-Remmert extension theorem}{56} \indexentry{fundamental group (algebraic)}{57} \indexentry{profinite completion (of a discrete group)}{58} \indexentry{signature (on a Riemann surface)}{60} \indexentry{Q-rational (conjugacy class)}{65} \indexentry{rationality (of a conjugacy class)}{65} \indexentry{K-rational (conjugacy class)}{65} \indexentry{rigidity}{70} \indexentry{rigid (family of conjugacy classes)}{70} \indexentry{strictly rigid (family of conjugacy classes)}{70} \indexentry{Janko group $J_1$}{77} \indexentry{Hall-Janko group $J_2$}{78} \indexentry{Fischer-Griess Monster $M$}{78} \indexentry{Monster group}{78} \indexentry{Bring curve}{86} \indexentry{Stiefel-Whitney classes (of a quadratic form)}{96} \indexentry{Hasse-Witt invariant (of a quadratic form)}{96} \indexentry{Springer's theorem}{96} \indexentry{residues (of a quadratic form)}{96} \indexentry{Milnor's theorem}{96} \indexentry{Harder's theorem}{97} \indexentry{trace form (of an \'etale algebra)}{98} \indexentry{Mestre's theorem}{99} \indexentry{generally true (property)}{100} \indexentry{large sieve inequality}{103} \indexentry{Davenport-Halberstam theorem}{106}