Table of Contents
- Frontmatter
- Contents
- List of definitions and notations
- Preface
- §46. Degrees of irreducible characters of Suzuki p-groups
- §47. On the number of metacyclic epimorphic images of finite p-groups
- §48. On 2-groups with small centralizer of an involution, I
- §49. On 2-groups with small centralizer of an involution, II
- §50. Janko’s theorem on 2-groups without normal elementary abelian subgroups of order 8
- §51. 2-groups with self centralizing subgroup isomorphic to E8
- §52. 2-groups with 2-subgroup of small order
- §53. 2-groups G with c2(G) = 4
- §54. 2-groups G with cn(G) = 4, n > 2
- §55. 2-groups G with small subgroup (x ∈ G | o(x) = 2")
- §56. Theorem of Ward on quaternion-free 2-groups
- §57. Nonabelian 2-groups all of whose minimal nonabelian subgroups are isomorphic and have exponent 4
- §58. Non-Dedekindian p-groups all of whose nonnormal subgroups of the same order are conjugate
- §59. p-groups with few nonnormal subgroups
- §60. The structure of the Burnside group of order 212
- §61. Groups of exponent 4 generated by three involutions
- §62. Groups with large normal closures of nonnormal cyclic subgroups
- §63. Groups all of whose cyclic subgroups of composite orders are normal
- §64. p-groups generated by elements of given order
- §65. A2-groups
- §66. A new proof of Blackburn’s theorem on minimal nonmetacyclic 2-groups
- §67. Determination of U2-groups
- §68. Characterization of groups of prime exponent
- §69. Elementary proofs of some Blackburn’s theorems
- §70. Non-2-generator p-groups all of whose maximal subgroups are 2-generator
- §71. Determination of A2-groups
- §72. An-groups, n > 2
- §73. Classification of modular p-groups
- §74. p-groups with a cyclic subgroup of index p2
- §75. Elements of order ≤ in p-groups
- §76. p-groups with few A1-subgroups
- §77. 2-groups with a self-centralizing abelian subgroup of type (4, 2)
- §78. Minimal nonmodular p-groups
- §79. Nonmodular quaternion-free 2-groups
- §80. Minimal non-quaternion-free 2-groups
- §81. Maximal abelian subgroups in 2-groups
- §82. A classification of 2-groups with exactly three involutions
- §83. p-groups G with Ω2(G) or Ω2*(G) extraspecial
- §84. 2-groups whose nonmetacyclic subgroups are generated by involutions
- §85. 2-groups with a nonabelian Frattini subgroup of order 16
- §86. p-groups G with metacyclic Ω2*(G)
- §87. 2-groups with exactly one nonmetacyclic maximal subgroup
- §88. Hall chains in normal subgroups of p-groups
- §89. 2-groups with exactly six cyclic subgroups of order 4
- §90. Nonabelian 2-groups all of whose minimal nonabelian subgroups are of order 8
- §91. Maximal abelian subgroups of p-groups
- §92. On minimal nonabelian subgroups of p-groups
- Appendix 16. Some central products
- Appendix 17. Alternate proofs of characterization theorems of Miller and Janko on 2-groups, and some related results
- Appendix 18. Replacement theorems
- Appendix 19. New proof of Ward’s theorem on quaternion-free 2-groups
- Appendix 20. Some remarks on automorphisms
- Appendix 21. Isaacs’ examples
- Appendix 22. Minimal nonnilpotent groups
- Appendix 23. Groups all of whose noncentral conjugacy classes have the same size
- Appendix 24. On modular 2-groups
- Appendix 25. Schreier’s inequality for p-groups
- Appendix 26. p-groups all of whose nonabelian maximal subgroups are either absolutely regular or of maximal class
- Research problems and themes II
- Backmatter
§76. p-groups with few A1-subgroups
Berkovich, Yakov / Janko, Zvonimir
Citation Information
Groups of Prime Power Order, Volume 2
Walter de Gruyter
2008
Pages: 282-315
eBook ISBN: 9783110208238
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