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

386

SUBJECT INDEX

Groups, binary, 215
-, linear, 198
-, linear fractional, 201
- of collineations, 198
-— linear transformations of deterrainant unity, 200
- the regular polyhedra, 220
-- order pa, 231
-- order paqb, 272
- degree n and class n -1, 274
-, ternary, 235
Hermitian form, 207
- invariant, 209
Hessian group, 239
Homology, 248
Icosahedral group, 223, 226
Identical transformation or the identity, 196
Imprimitive groups, 228; theorem on,
229
Imprimitivity, sets of, 228
Intransitive groups, 206
Intransitivity, sets of, 206
Invariants (absolute, relative), 258;
theorems on the number of, 258, 259
- of the binary groups, 224
- -- ternary groups, 253
Inverse of a linear transformation, 194,
210
Irreducible groups, 211
Linear transformation, 194
PA]
Abel's theorem, 320
Abelian functions, 373
- linear group, 376-7, 380
Adjunction, 299, 313-4, 317-20, 323-4,
338-41, 379
Aronhold set, 361, 367-71
Asyzygetic, 356, 361-3
Belongs to group, 296-7, 299
Binomial equation, 281, 312, 316
Bitangents, 350-76

Matrix of a linear transformation, 194;
theorems on the matrices of the
transformations belonging to a finite
transitive group, 271
Monomial groups, 229
Multipliers of a linear transformation, 196; theorems on, 197, 257
Non-equivalent groups, 262; theorem
on, 271
Octahedral group, 222, 225
Order of a linear transformation, 196
- -- primitive group, 256
Power of a linear transformation, 196
Primitive groups, 228; order of, 256
Product of linear transformations, 195
Reducible groups, 210
Regular substitution groups, theorems
on, 264, 265, 269, 272
Roots of unity, 239
Similarity-transformations, 196; theorems on, 197, 202, 233, 234
Sylow groups, 231
Tetrahedral group, 222, 225
Transitive groups, 207; theorems on,
260, 261
Unitary form, 210
RT III
Cardan's formulas, 301
Congruence group, 335, 377
Conics, 353-6, 373, 376
Conjugate, 297, 305
Constructions by ruler and compasses,
321-6
Contact, 353-77
Cross-ratio, 283
Cubic curve, 330-42
- equation, 296, 301-3, 320-3
- surface, 343-53, 366, 380