INDEX OF SUBJECTS. 



311 



INDEX OF SUBJECTS. 



(The numbers refer to pages; g or Gr denotes group.) 



Abelian g, 89, 110, 115, 117, 151, 179, 



200, 201, 299, 309. 

 abstract field, 9, 13. 

 abstract g, 287, 289, 292, 300. 

 additive -field, 5. 

 additive -#, 49, 269. 

 alternating gr, 4 letters, 269. 

 5 letters, 279, 290. 

 8 letters, 259, 290. 

 Jc letters, 289. 

 basis -system, 49. 

 Betti-Mathieu g, 64, 67, 69. 

 canonical form, 221, 237, 244. 

 characteristic determinant, 80. 



equation, 222. 

 class of quantic, 29. 



residue, 3, 6, 7. 



commutative g, 262, 265. 



substitution, 193, 229. 

 compound of g, 145. 

 configuration 27 lines, 303. 

 congruent, 3. 

 conjugate, 52, 100, 236. 

 cubic surface, 303, 306. 

 cyclic base, 266. 

 dihedron g, 265. 

 doubly -transitive, 248, 261. 

 exercises, 19, 42, 70, 216. 

 existence of Galois F, 14, 19. 

 exponent of mark, 11. 



- of function, 19. 

 factors of composition, 81, 91, 94, 191, 



192. 



Fermat's theorem, 4, 11. 

 field, 5. 



first hypoabelian, 201, 208. 

 first orthogonal, 131, 159, 191, 292, 



299, 309. 

 four- group, 267. 

 Galois Field, 6, 14. 

 general linear homogeneous g, 69, 75, 



77, 124, 146, 147, 235, 290. 



group, 65; 168 , 303; 20160 , 259; 

 GWo , 2 93, 296; 61840 , 306; 

 see alternating, icosahedral, 

 dihedron, tetrahedral, octahedral, 

 symmetric, linear, general, 

 special, simple. 



Hermite's theorem, 59. 



homogeneous, see general, special. 



hyperabelian g, 115, 183, 209, 298. 



hyperelliptic, 307. 



hyperorthogonal g, 131, 264. 



hypoabelian, see first, second. 



icosahedral, 278, 283, 302. 



index of subgroup, 286, 307. 



infinity (mark), 260. 



invariant, quadratic, 144, 153, 156, 

 191, 194, 197, 206. 

 of degree 2, 126, 218. 



irreducible, 10, 15, 44. 



isomorphic, 99, 164, 174, 183, 194, 

 208, 209, 287, 298, 308. 



linear independence, 10, 52. 



linear fractional g, 87, 126, 132, 164, 

 174, 179, 193, 194, 208, 242, 

 259, 260, 286, 302, 303. 



mark, 9. 



modulus, 3, 6. 



multiplier Galois F, 61, 270. 



Newton's identities, 53. 



non- isomorphic, 260, 309. 



not -square, 44, 48. 



octahedral g, 269, 282. 



order of field, 5, 10. 



orthogonal, see first, second. 



period of mark, 11. 



Pfaffian, 147, 172. 



primitive root, 13, 36. 



irreducible quantic, 21, 35, 44. 



quadratic equation, 46. 

 , see invariant. 



rank, 49. 



reduced quantic, 63. 



