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|a UAMI
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|a Berkovich, Yakov.
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|a Groups of prime power order.
|n Volume 2 /
|c by Yakov Berkovich and Zvonimir Janko.
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260 |
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|a Berlin ;
|a New York :
|b W. de Gruyter,
|c ©2008.
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300 |
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|a 1 online resource (xv, 596 pages)
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336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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490 |
1 |
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|a De Gruyter expositions in mathematics,
|x 0938-6572 ;
|v 47
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|a Includes bibliographical references and indexes.
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588 |
0 |
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|a Print version record.
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8 |
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|a Annotation This is the second of three volumes on finite p-group theory, written by two prominent authors in the area.
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|a 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
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|a 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
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|a 63. Groups all of whose cyclic subgroups of composite orders are normal64. 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
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|a 75. Elements of order = 4 in p-groups76. 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 O2(G) or O2*(G) extraspecial; 84. 2-groups whose nonmetacyclic subgroups are generated by involutions; 85. 2-groups with a nonabelian Frattini subgroup of order 16
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|a 86. p-groups G with metacyclic O2*(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
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546 |
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|a English.
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590 |
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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650 |
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|a Finite groups.
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650 |
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|a Group theory.
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650 |
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6 |
|a Groupes finis.
|
650 |
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6 |
|a Théorie des groupes.
|
650 |
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7 |
|a MATHEMATICS
|x Group Theory.
|2 bisacsh
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650 |
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7 |
|a Finite groups
|2 fast
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650 |
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7 |
|a Group theory
|2 fast
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700 |
1 |
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|a Janko, Zvonimir.
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776 |
0 |
8 |
|i Print version:
|a Berkovich, I͡A. G., 1938-
|t Groups of prime power order. Volume 2.
|d Berlin ; New York : W. de Gruyter, ©2008
|z 9783110204186
|
830 |
|
0 |
|a De Gruyter expositions in mathematics ;
|v 47.
|x 0938-6572
|
856 |
4 |
0 |
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