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

TABLE OF CONTENTS XV
CHAPTER XI
SOME SPECIAL TYPES OF GROUPS
SECTION PAGE
106-7. Primitive and imprimitive groups............................... 228
108-9. Sylow groups........................................... 230
110, On the group of similarity-transformations....................... 233
CHAPTER XII
THE LINEAR GROUPS IN THREE VARIABLES
111. Introduction.................................................... 235
112-3. Intransitive and imprimitive groups.......................... 236
114-5. Groups having invariant intransitive or imprimitive subgroups...... 237
116. On roots of unity............................................... 239
117-23. Prim itive simple groups........................................ 241
124. Primitive groups having invariant primitive subgroups.............. 251
125. Invariants of the linear groups in three variables....2............ 253
126. Order of a primitive group in n variables; historical note............. 255
CHAPTER XIII
GROUP CHARACTERISTICS
127. Introduction.................................................... 257
128-30. Number of invariants; conditions for transitivity............... 258
131-2. Equivalence................................................. 262
133-5. The sum of matrices; the product of characteristics............... 265
136. Number of independent elements in the group-matrix.............. 268
137. Number of non-equivalent isomorphic groups............. 271
138. Groups of order paqb are composite............................... 272
139. Substitution groups of degree n and class n- I are composite........ 274
PART III
APPLICATIONS OF FINITE GROUPS
CHAPTER XIV
THE GROUP OF AN ALGEBRAIC EQUATION FOR A GIVEN DOMAIN
140-1. Introduction, number domains............................. 279
Exercises..................................................... 280
142-4. Reducible and irreducible functions............................... 280
Exercises............................................... 282