Gorenstein Quotient Singularities in Dimension Three.
- 1st ed.
- 1 online resource (102 pages)
- Memoirs of the American Mathematical Society ; v.105 .
- Memoirs of the American Mathematical Society .
Intro -- TABLE OF CONTENTS -- CHAPTER 0 INTRODUCTION -- CHAPTER 1 CLASSIFICATION OF FINITE SUBGROUPS OF SL(3, C) -- 1.1 Definitions -- 1.2 Intransitive and imprimitive groups -- 1.3 Remarks on the invariants of the groups (C) and (D) -- 1.4 Groups having normal intransitive subgroups -- 1.5 Primitive groups having normal imprimitive subgroups -- 1.6 Primitive groups which are simple -- 1.6.1 The normal group H[sub(p)] -- 1.6.2 The Sylow subgroups -- 1.7 Primitive groups having normal intransitive subgroups (continued) -- 1.8 Primitive groups having normal primitive subgroups -- CHAPTER 2 THE INVARIANT POLYNOMIALS AND THEIR RELATIONS OF LINEAR GROUPS OF SL(3, C) -- 2.1 Theorems -- 2.2 The invariants of group of type (A) -- 2.3 The invariants of group of type (B) -- 2.3.1 The invariants of dihedral groups D[sub(n,q)] -- 2.3.2 The invariants of tetrahedral groups T[sub(m)] -- 2.3.3 The invariants of octahedral groups O[sub(m)] -- 2.3.4 The invariants of icosahedral groups I[sub(m)] -- 2.4 The invariants of group of type (C) -- 2.5 The invariants of group of type (D) -- 2.6 The invariants of group (E) -- 2.7 The invariants of group (F) -- 2.8 The invariants of group (G) -- 2.9 The invariants of group (H) -- 2.10 The invariants of group (I) -- 2.11 The invariants of group (J) -- 2.12 The invariants of group (K) -- 2.13 The invariants of group (L) -- CHAPTER 3 GORENSTEIN QUOTIENT SINGULARITIES IN DIMENSION THREE.