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

TABLE OF CONTENTS

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CHAPTER XVIII
THE INFLEXION POINTS OF A PLANE CUBIC CURVE
SECTION PAGE
173. Homogeneous coordinates, Euler's theorem, singular points........... 327
174. Hessian curve.......................................... 329
175. Inflexion points, inflexion triangles................................. 330
176-8. Group of the equation for the inflexion points..................... 333
179. Real points of inflexion.......................................... 341
CHAPTER XIX
THE 27 STRAIGHT LINES ON A GENERAL CUBIC SURFACE AND THE 28
BITANGENTS TO A GENERAL QUARTIC CURVE
180. Existence of the 27 lines on a cubic surface.......................... 343
181. Double-six configuration.......................................... 345
182. The 45 triangles on a cubic surface................................. 346
183. Group Of the equation for the 27 lines.............................. 347
184. Relation between cubic surfaces and quartic curves.................. 351
Exercises.................................................. 353
185. Steiner sets of bitangents to a quartic curve......................... 354
186. Notation of Hesse and Cayley for the bitangents..................... 357
187. Group containing the group for the 28 bitangents................... 362
188. Number of real bitangents to a quartic curve........................ 365
189. Number of real lines on a cubic surface............................. 366
190. Actual determination of the group for the bitangents................. 367
191. Symmetrical notation for the bitangents............................ 372
192. Further problems of contacts of curves............................. 375
CHAPTER XX
MONODROMIE GROUP
193. Monodromie group M of F(z, k)=0................................ 378
194. M an invariant subgroup of the Galois group of F................... 378
195. Applications of monodromie, differential equations..................... 379
196. Quintic equations, form problem................................... 381