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1 The Hypercenter and Its Generalizations |
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1 | (62) |
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1.1 Basic Concepts and Results |
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1 | (6) |
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1.2 Generalized Hypercentral Subgroups |
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7 | (13) |
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1.3 The Theory of Quasi-Groups |
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20 | (15) |
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1.4 On Factorizations of Groups with hypercentral Intersections of the Factors |
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35 | (7) |
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1.5 The Intersection of maximal Subgroups |
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42 | (16) |
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1.6 Additional Information and Some Problems |
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58 | (5) |
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2 Groups With Given Systems of X-Permutable Subgroups |
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63 | (66) |
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63 | (8) |
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2.2 Criterions of Existence and Conjugacy of Hall Subgroups |
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71 | (13) |
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2.3 On the Groups in Which Every Subgroup Can be Written as an Intersection of Some Subgroups of Prime Power Indices |
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84 | (7) |
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2.4 Criteria of Supersolubility and p-Supersolubility for Products of Groups |
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91 | (8) |
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2.5 Characterizations of Classes of Groups in Terms of X-Permutable Subgroups |
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99 | (24) |
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2.6 Additional Information and Some Problems |
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123 | (6) |
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3 Between Complement and Supplement |
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129 | (62) |
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3.1 Base Concepts and Lemmas |
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130 | (11) |
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141 | (26) |
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3.3 Groups with Some Special Supplement Conditions for Subgroups |
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167 | (15) |
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3.4 G-covering Systems of Subgroups |
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182 | (6) |
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3.5 Additional Information and Some Problems |
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188 | (3) |
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4 Groups With Given Maximal Chains of Subgroups |
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191 | (58) |
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191 | (10) |
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4.2 Groups with Permutability for 2-Maximal and 3-Maximal Subgroups |
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201 | (25) |
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4.3 Finite Groups of Spencer Height ≤ 3 |
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226 | (5) |
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4.4 On θ-Pairs for Maximal Subgroups of a Finite Group |
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231 | (12) |
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4.5 Additional Information and Some Problems |
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243 | (6) |
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5 Formations and Fitting Classes |
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249 | (88) |
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5.1 Generated ω-Composition and ω-Local Formations |
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249 | (3) |
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5.2 The Criterion of ω-Compositively of the First Factor of One-Generated ω-Composition Product of Two Formations |
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252 | (6) |
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5.3 Noncancellative Factorizations of One-Generated ω-Composition Formations |
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258 | (15) |
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5.4 On Two Problems of the Lattice Theory of Formations |
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273 | (18) |
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5.5 On a Question of the Theory of Graduated Formation |
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291 | (5) |
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5.6 Injectors and Covering Subgroups |
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296 | (13) |
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5.7 Classes Determined by Hall Subgroups |
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309 | (8) |
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5.8 The Theory of Cocentrality of Chief Factors and Cohypercenter for Fitting Classes |
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317 | (7) |
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5.9 On ω-Local Fitting Classes and Lockett Conjecture |
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324 | (6) |
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5.10 A Problem Concerning the Residuals of Groups |
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330 | (2) |
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5.11 Additional Information and Some Problems |
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332 | (5) |
Bibliography |
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337 | (18) |
List of Symbols |
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355 | (2) |
Index of Subjects |
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357 | |