Theory and applications of finite groups, by G.A. Miller, H. F. Blichfeldt [and] L. E. Dickson.

SUBJECT INDEX

387

Curve of order n, 376-7
Cyclic group, 306-9, 311, 316, 319,326
Cyclotomic equation, 308-10
Differential equation, 380
Discriminant, 290, 292, 302, 312
Domain, 280, 293, 299
Double point, 329
- six, 345
Duplication of cube, 321-3
Elliptic function, 379, 381
Equality, 294
Equation with variable coefficients, 292
- of the fifth and seventh degree, 381
Euler's theorem, 328
Factors of composition, 306, 311-2,
317, 350
Fan, 361
Form problem, 381

Galois' criterion for solvability, 315
- generalization of Lagrange's theorem,
298
- theorem, 319
Galoisian equation, 320
- resolvents, 284, 288
Gauss' lemma, 309
General equation, 292, 294, 317, 320,
372
Geometrical constructions, 321-6
- questions, 321-77
Group of an algebraic equation, 286-9,
294, 300, 305, 333-41, 347, 362, 365,
367-71, 376-81
-- a differential equation, 380
- on four letters, 290

Inflexion, 330-42
Integral root, 282
Invariant, 330, 333, 381
- subgroup, 305-6, 318-9, 378
Irreducible, 280-1, 289, 292, 294, 297,
310, 320, 325
- case for cubic equations, 320
Isomorphic, 304
Jordan's theorem, 317
Lagrange's formulas, 307
- theorem, 298
Linear group, 335-8, 380-1
- transformation, 328, 336, 380
Lines on a cubic surface, 343, 366
Monodromie, 378-81
Notation of Hesse and Cayley, 357
Primitive root, 308, 325
Quartic curve, 350-76
- equation, 290, 296, 312-4, 337
- surface, 377
Quintic equation, 381
- curve, 376
Quotient group, 306, 318, 337
Radicals (see Solvable)
Rational function, 284, 289, 294, 296,
298, 378, 380-1
- root, 282
Reality, 341, 365-6, 376-7
Reciprocal equation, 290-2
Reducible, 280-1, 289, 291, 309
Regular group, 306, 309, 316
- polygon, 321-6
Resolvent, 284, 290, 303-6, 312, 350,
381
Root, definition of, 292
- of unity, 307-11, 323-6
Series of composition, 306, 317
Simple group, 306, 350, 372, 381
Singular point, 329

Hessian, 329, 344, 354
- curve, 330-3
Homogeneous coordinates, 327
Hyperboloid, 346
Hyperelliptic functions, 379
Icosahedral equation, 381
- group, 381
Imaginary roots, 292, 365