Index action doubly transitive, 2 faithful, 1 imprimitive, 2 primitive, 2 transitive, 2 algebraic K-theory, 153 group, 152 almost simple, 156 alternate form, 16 matrix, 16 anisotropic kernel, 42 vector, 34 antisymmetric form, 16 matrix, 16 Arf invariant, 124 axis, 49, 50 bilinear form, 13 block, 2 BN-pair, 152 building, 152 central algebra, 121 Chevalley group, 151 circle group, 59 Clifford algebra, 66 group, 78 commutator subgroup, 4 compatible algebra, 65 congruence subgroup, 155 congruent matrices, 14 Coxeter-Dynkin diagram, 151 defective space, 114 derived group, 4 discriminant, 14, 86 distance, 59 doubly transitive, 2 dual basis, 13 space, 13 elementary matrix, 154 equidistant, 60 equivalent forms, 17, 114 Euler's Theorem, 49 even Clifford group, 78 homogeneous, 70 subalgebra, 70 extra-special group, 43 faithful, 1 Faris, 85 form alternate, 16 bilinear, 13 Hermitian, 85 quadratic, 31, 87, 113 reflexive, 17 sesquilinear, 85 symmetric, 16 form ring, 155 Frobenius automorphism, 159 map, 158

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