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1.

図書
図書
1. Profinite groups
Luis Ribes, Pavel Zalesskii
出版情報: Berlin ; Tokyo : Springer, c2000  xiv, 435 p. ; 25 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, v. 40
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目次情報: 続きを見る
Preface
Inverse and Direct Limits / 1：
Inverse or Projective Limits / 1.1：
Direct or Inductive Limits / 1.2：
Notes, Comments and Further Reading / 1.3：
Profinite Groups / 2：
Pro- <$>{\cal C}<$> Groups / 2.1：
Basic Properties of Pro- <$>{\cal C}<$> Groups / 2.2：
Existence of Sections
Exactness of Inverse Limits of Profinite Groups
The Order of a Profinite Group and Sylow Subgroups / 2.3：
Generators / 2.4：
Finitely Generated Profinite Groups / 2.5：
Generators and Chains of Subgroups / 2.6：
Procyclic Groups / 2.7：
The Frattini Subgroup of a Profinite Group / 2.8：
Pontryagin Duality for Profinite Groups / 2.9：
Pullbacks and Pushouts / 2.10：
Profinite Groups as Galois Groups / 2.11：
Free Profinite Groups / 2.12：
Profinite Topologies / 3.1：
The Pro-<$>{\cal C}<$> Completion / 3.2：
The Completion Functor
Free Pro-<$>{\cal C}<$> Groups / 3.3：
Free Pro - <$>{\cal C}<$> Group on a Set Converging to 1
Maximal Pro- <$>{\cal C}<$> Quotient Groups / 3.4：
Characterization of Free Pro-<$>{\cal C}<$> Groups / 3.5：
Open Subgroups of Free Pro-<$>{\cal C}<$> Groups / 3.6：
Some Special Profinite Groups / 3.7：
Powers of Elements with Exponents from <$>\hat {\rm Z}<$> / 4.1：
Subgroups of Finite Index in a Profinite Group / 4.2：
Profinite Abelian Groups / 4.3：
Automorphism Group of a Profinite Group / 4.4：
Automorphism Group of a Free Pro-p Group / 4.5：
Profinite Frobenius Groups / 4.6：
Torsion in the Profinite Completion of a Group / 4.7：
Discrete and Profinite Modules / 4.8：
Profinite Rings and Modules / 5.1：
Duality Between Discrete and Profinite Modules
Free Profinite Modules / 5.2：
G-modules and Complete Group Algebras / 5.3：
The Complete Group Algebra
Projective and Injective Modules / 5.4：
Complete Tensor Products / 5.5：
Profinite G-spaces / 5.6：
Free Profinite <$$$>[[RG]]-modules / 5.7：
Diagonal Actions / 5.8：
Homology and Cohomology of Profinite Groups / 5.9：
Review of Homological Algebra / 6.1：
Right and Left Derived Functors
Bifunctors
The Ext Functors
The Tor Functors
Cohomology with Coefficients in DMod(<$$$>[[RG]]) / 6.2：
Standard Resolutions
Homology with Coefficients in PMod(<$$$>[[RG]]) / 6.3：
Cohomology Groups with Coefficients in DMod(G) / 6.4：
The Functorial Behavior of Hn(G, A) and Hn(G, A) / 6.5：
The Inflation Map
Hn(G,A) as Derived Functors on DMod(G) / 6.6：
Special Mappings / 6.7：
The Restriction Map in Cohomology
The Corestriction Map in Cohomology
The Corestriction Map in Homology
The Restriction Map in Homology
Homology and Cohomology Groups in Low Dimensions / 6.8：
H2 (G, A) and Extensions of Profinite Groups
Extensions of Profinite Groups with Abelian Kernel / 6.9：
Induced and Coinduced Modules / 6.10：
The Induced Module <$>{\rm Ind}_H^G<$> (B) for H Open / 6.11：
Cohomological Dimension / 6.12：
Basic Properties of Dimension / 7.1：
The Lyndon-Hochschild-Serre Spectral Sequence / 7.2：
Cohomological Dimension of Subgroups / 7.3：
Cohomological Dimension of Normal Subgroups and Quotients / 7.4：
Groups G with cdp(G) ≤ 1 / 7.5：
Projective Profinite Groups / 7.6：
Free Pro-p Groups and Cohomological Dimension / 7.7：
Generators and Relators for Pro-p Groups / 7.8：
Cup Products / 7.9：
Normal Subgroups of Free Pro - <$>{\cal C}<$> Groups / 7.10：
Normal Subgroup Generated by a Subset of a Basis / 8.1：
The S-rank / 8.2：
Accessible Subgroups / 8.3：
Accessible Subgroups H with w0(F/H) < rank(F) / 8.4：
Homogeneous Pro- <$>{\cal C}<$> Groups / 8.5：
Normal Subgroups / 8.6：
Proper Open Subgroups of Normal Subgroups / 8.7：
The Congruence Kernel of SL2(Z) / 8.8：
Sufficient Conditions for Freeness / 8.9：
Characteristic Subgroups of Free Pro- <$>{\cal C}<$> Groups / 8.10：
Free Constructions of Profinite Groups / 8.11：
Free Pro- <$>{\cal C}<$> Products / 9.1：
Amalgamated Free Pro- <$>{\cal C}<$> Products / 9.2：
Cohomological Characterizations of Amalgamated Products / 9.3：
Pro- <$>{\cal C}<$> HNN extensions / 9.4：
Open Questions / 9.5：
Appendix
Spectral Sequences / A1：
Positive Spectral Sequences / A2：
Spectral Sequence of a Filtered Complex / A3：
Spectral Sequences of a Double Complex / A4：
Bibliography / A5：
Index of Symbols
Index of Authors
Index of Terms
Preface
Inverse and Direct Limits / 1：
Inverse or Projective Limits / 1.1：
2.

図書
図書
2. Statistics for experimenters : an introduction to design, data analysis, and model building
George E.P. Box, William G. Hunter, J. Stuart Hunter
出版情報: New York : J. Wiley, c1978  xviii, 653 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics ; . Applied probability and statistics
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Science and Statistics
Comparing Two Treatments
Use of External Reference Distribution to Compare Two Means
Random Sampling and the Declaration of Independence
Randomization and Blocking with Paired Comparisons
Significance Tests and Confidence Intervals for Means, Variances, Proportions and Frequences
Comparing More Than Two Treatments
Experiments to Compare k Treatment Means
Randomized Block and Two-Way Factorial Designs
Designs with More Than One Blocking Variable
Measuring the Effects of Variables
Empirical Modeling
Factorial Designs at Two Levels
More Applications of Factorial Designs
Fractional Factorial Designs at Two Levels
More Applications of Fractional Factorial Designs
Building Models and Using Them
Simple Modeling with Least Squares (Regression Analysis)
Response Surface Methods
Mechanistic Model Building
Study of Variation
Modeling Dependence: Times Series
Appendix Tables
Index
Science and Statistics
Comparing Two Treatments
Use of External Reference Distribution to Compare Two Means
3.

図書
図書
3. Algebraic geometry and theta functions
by Arthur B. Coble
出版情報: New York : American Mathematical Society, 1929  vii, 282 p. ; 24 cm
シリーズ名: Colloquium publications / American Mathematical Society ; v. 10
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4.

図書
図書
4. Mathematical foundations of statistical mechanics
by A.I. Khinchin ; translated from the Russian by G. Gamow
出版情報: New York : Dover Publications, c1949  viii, 179 p. ; 22 cm
シリーズ名: Dover books on advanced mathematics
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5.

図書
図書
5. Advances in the theory of Riemann surfaces : proceedings of the 1969 Stony Brook Conference
edited by Lars V. Ahlfors ... [et al.]
出版情報: Princeton, N.J. : Princeton University Press , [Tokyo] : University of Tokyo Press, 1971  viii, 420 p. ; 24 cm
シリーズ名: Annals of mathematics studies ; no. 66
Tokyo University international edition ; no. 60
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6.

図書
図書
6. Mathematical aspects of electrical network analysis
[edited by Herbert S. Wilf and Frank Harary]
出版情報: Providence, R.I. : American Mathematical Society, 1971  206 p. ; 26 cm
シリーズ名: SIAM-AMS proceedings ; v. 3
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7.

図書
図書
7. Ray methods for waves in elastic solids : with applications to scattering by cracks
J.D. Achenbach, A.K. Gautesen, and H. McMaken
出版情報: Boston : Pitman Advanced Pub. Program, 1982  xi, 251 p. ; 24 cm
シリーズ名: Monographs and studies in mathematics ; 14
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8.

図書
図書
8. Lectures on Lie groups (: pbk ; : cloth)
[by] J. Frank Adams
出版情報: New York : W.A. Benjamin, 1969  xii, 182 p. ; 23 cm
シリーズ名: Mathematics lecture note series
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9.

図書
図書
9. Approximation theory III : proceedings of a conference honoring Professor George G. Lorentz, held at the University of Texas at Austin, January 8-12, 1980
edited by E.W. Cheney
出版情報: New York : Academic Press, 1980  xxiii, 944 p. ; 24 cm
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10.

図書
図書
10. An algebraic introduction to mathematical logic (: us ; : gw)
Donald W. Barnes, John M. Mack
出版情報: New York ; Berlin : Springer-Verlag, c1975  viii, 121 p. ; 24 cm
シリーズ名: Graduate texts in mathematics ; v. 22
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