1. |
A Uniform Bound for Rational Points on Twists of a Given Curve |
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Journal of the London Mathematical Society,
Volume s2-47,
Issue 3,
2016,
Page 385-394
Joseph H. Silverman,
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ISSN:0024-6107
DOI:10.1112/jlms/s2-47.3.385
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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2. |
On the Asymptotic Distribution of Large Prime Factors |
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Journal of the London Mathematical Society,
Volume s2-47,
Issue 3,
2016,
Page 395-404
Peter Donnelly,
Geoffrey Grimmett,
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摘要:
A random integerN, drawn uniformly from the set (1,2,…,n), has a prime factorization of the formN= α1α2…αMwhere α1⩾ α2⩾ … ⩾ αM. We establish the asymptotic distribution, asn→ ∞, of the vector A(n) = (log α1,/logN:i: ⩾ 1) in a transparent manner. By randomly re‐ordering the components of A(n), in a size‐biased manner, we obtain a new vector B(n) whose asymptotic distribution is the GEM distribution with parameter 1; this is a distribution on the infinite‐dimensional simplex of vectors (x1,x2,…) having non‐negative components with unit sum. Using a standard continuity argument, this entails the weak convergence of A(n) to the corresponding Poisson–Dirichlet distribution on this simplex; this result was obtained by Billingsley [3].
ISSN:0024-6107
DOI:10.1112/jlms/s2-47.3.395
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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3. |
Semi‐Stable Components of an Auslander–Reiten Quiver |
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Journal of the London Mathematical Society,
Volume s2-47,
Issue 3,
2016,
Page 405-416
Shiping Liu,
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ISSN:0024-6107
DOI:10.1112/jlms/s2-47.3.405
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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4. |
Subdirectly Reducible Groups and Edge‐Minimal Graphs with Given Automorphism Group |
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Journal of the London Mathematical Society,
Volume s2-47,
Issue 3,
2016,
Page 417-432
László Babai,
Albert J. Goodman,
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摘要:
A group issubdirectly reducibleif it has two non‐trivial normal subgroups with trivial intersection. Such groups may be an easy case in certain inductive arguments. We prove that every solvable finite group can be generated by at most one subdirectly reducible subgroup together with two subgroups of prime‐power order and one element. We also prove that every group of prime‐power order can be generated by at most one subdirectly reducible subgroup together with two elements. Combining these two results with the fact that every finite group is generated by two conjugate solvable subgroups [1], we have a tool for certain inductive proofs about arbitrary finite groups. As an application we prove that any function on finite groups satisfying three simple properties (bounded on cyclic groups, additive when passing from subgroups to the group they generate, and sufficiently ‘well‐behaved’ on subdirectly reducible groups) is necessarily bounded. Finally we apply this last result to confirm a conjecture of Babai (1981) on edge‐minimal graphs with given automorphism group: for every finite groupGthere exists a graphX(and a latticeL) whose full automorphism group is isomorphic toGsuch thatXhas at mostc|G| edges (andLhas at most 2c|G| elements) for some constantc<300
ISSN:0024-6107
DOI:10.1112/jlms/s2-47.3.417
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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5. |
The Lattice Spanned by the Cosets of Subgroups in the Integral Group Ring of a Finite Group |
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Journal of the London Mathematical Society,
Volume s2-47,
Issue 3,
2016,
Page 433-449
T. Bier,
J. P. C. Greenlees,
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ISSN:0024-6107
DOI:10.1112/jlms/s2-47.3.433
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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6. |
On Lusztig's Isomorphism Theorems for Hecke Algebras and Representation Theory |
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Journal of the London Mathematical Society,
Volume s2-47,
Issue 3,
2016,
Page 450-472
Peter Fleischmann,
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ISSN:0024-6107
DOI:10.1112/jlms/s2-47.3.450
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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7. |
Asymptotically Diagonal Linear Differential Equations with Retardation |
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Journal of the London Mathematical Society,
Volume s2-47,
Issue 3,
2016,
Page 473-483
J. S. Cassell,
Zhanyuan Hou,
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ISSN:0024-6107
DOI:10.1112/jlms/s2-47.3.473
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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8. |
On the Analytic Radon–Nikodym Property for Bounded Subsets in Banach Spaces |
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Journal of the London Mathematical Society,
Volume s2-47,
Issue 3,
2016,
Page 484-496
Shangquan Bu,
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摘要:
We define the analytic Radon–Nikodym property for bounded subsets in complex Banach spaces and show the equivalence between the analytic Radon–Nikodym property, convergence of a class of analytic (or alternatively, Hardy) martingales related to the subset and the existence of radial limits for a class of analytic functions related to the subset.
ISSN:0024-6107
DOI:10.1112/jlms/s2-47.3.484
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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9. |
On Ideals ofApwith Bounded Approximate Units and Certain Conditional Expectations |
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Journal of the London Mathematical Society,
Volume s2-47,
Issue 3,
2016,
Page 497-506
Jacques Delaporte,
Antoine Derighetti,
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ISSN:0024-6107
DOI:10.1112/jlms/s2-47.3.497
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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10. |
Wiener Tauberian Theorems for Distributions |
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Journal of the London Mathematical Society,
Volume s2-47,
Issue 3,
2016,
Page 507-515
S. Pilipović,
B. Stanković,
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摘要:
Wiener Tauberian theorems are proved for integral transforms of Schwartz distributions in which the kernel of the transform belongs to a suitable testing function space.
ISSN:0024-6107
DOI:10.1112/jlms/s2-47.3.507
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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