1. |
Extended Generalized Hexagons and the Suzuki Chain |
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Journal of the London Mathematical Society,
Volume 54,
Issue 1,
2016,
Page 1-15
Hans Cuypers,
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摘要:
Four extended generalized hexagons related to the simple groups G2(2)', PSU4(3), HJ and Suz are characterized by the condition that any triple of points {x,y,z} is a clique of the point graph not in a circle of the extended hexagon if and only if the distance ofyandzin the residue atxis 3.
ISSN:0024-6107
DOI:10.1112/jlms/54.1.1
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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2. |
Multiple Extensions of Generalized Hexagons Related to the Simple Groups McL and Co3 |
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Journal of the London Mathematical Society,
Volume 54,
Issue 1,
2016,
Page 16-24
Hans Cuypers,
Anna Kasikova,
Dmitrii V. Pasechnik,
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摘要:
The groups McL, Co3and 2 × Co3are all contained in the automorphism group of a 2‐, respectively, 3‐fold extension of a generalized hexagon of order (4,1). We give a geometric characterization of these multiple extensions of this generalized hexagon.
ISSN:0024-6107
DOI:10.1112/jlms/54.1.16
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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3. |
Branching Rules for Modular Representations of Symmetric Groups III: Some Corollaries and a Problem of Mullineux |
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Journal of the London Mathematical Society,
Volume 54,
Issue 1,
2016,
Page 25-38
A. S. Kleshchev,
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ISSN:0024-6107
DOI:10.1112/jlms/54.1.25
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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4. |
Isoperimetric Inequalities for Volumes Associated with Decomposable Forms |
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Journal of the London Mathematical Society,
Volume 54,
Issue 1,
2016,
Page 39-49
Michael A. Bean,
Jeffrey Lin Thunder,
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摘要:
We give sharp estimates for volumes in ℝndefined by decomposable forms. In particular, we show that ifF(X1…,Xn) =Πi=1d(αi1X1+ … + αinXn) is a decomposable form with αij∈ C, degreed>n, and discriminantDF≠ 0, and ifVFis the volume of the region {x∈ℝn:|F(x)| ⩽ 1}, then |DF|(d−n)!/d!VF⩽Cn, whereCnis the value of |DF|(d−n)!/d!VFwhenF(X1…,Xn) =X1…Xn(X1+… +Xn); moreover, we show that the sequence {Cn} is asymptotic to (2/π)e1−γ(2n)n. These results generalize work of the first author on binary forms and will likely find application in the enumeration of solutions of decomposable form inequalities.
ISSN:0024-6107
DOI:10.1112/jlms/54.1.39
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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5. |
Un Groupe Hyperbolique Est Déterminé Par Son Bord |
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Journal of the London Mathematical Society,
Volume 54,
Issue 1,
2016,
Page 50-74
Frédéric Paulin,
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摘要:
We construct on the boundary of a hyperbolic group (in Gromov's sense) a natural visual measure and a natural crossratio. We prove that the I‐quasiconformal homeomorphisms (in Pansu's sense) between the boundaries of hyperbolic groups are the quasimöbius maps (that is, the bijections that almost preserve the crossratios), and that they are the extensions of the quasi‐isometries between the groups. We define a barycentre for every probability measure on the boundary without atom, extending the Douady‐Earle construction.
ISSN:0024-6107
DOI:10.1112/jlms/54.1.50
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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6. |
On Projective Modules for Algebraic Groups |
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Journal of the London Mathematical Society,
Volume 54,
Issue 1,
2016,
Page 75-88
Stephen Donkin,
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ISSN:0024-6107
DOI:10.1112/jlms/54.1.75
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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7. |
The Weighted Hardy Inequality: New Proofs and the Casep= 1 |
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Journal of the London Mathematical Society,
Volume 54,
Issue 1,
2016,
Page 89-101
Gord Sinnamon,
Vladimir D. Stepanov,
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摘要:
An elementary proof is given of the weight characterisation for the Hardy inequality(1.1)(∫0∞(∫0∞f)qυ(x)dx)1/q ⩽C (∫0∞fpu)1/p for f⩾0,in the case 0
ISSN:0024-6107
DOI:10.1112/jlms/54.1.89
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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8. |
The Full Müntz Theorem inC[0, 1] andL1[0, 1] |
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Journal of the London Mathematical Society,
Volume 54,
Issue 1,
2016,
Page 102-110
Peter Borwein,
Tamás Erdélyi,
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摘要:
The main result of this paper is the establishment of the ‘full Müntz Theorem’ inC[0, l]. This characterizes the sequences{λi}i=1∞of distinct, positive real numbers for which span{1,xλ1,xλ2,…}is dense inC[0, 1]. The novelty of this result is the treatment of the most difficult case when infiλi= 0 while supiλi= ∞. The paper settles theL∞andL1cases of the following.THEOREM (Full Müntz Theorem inLp[0,1]). Letp∈ [l, ∞].Suppose that{λi}i=0∞is a sequence of distinct real numbers greater than −1/p.Thenspan{xλ0,xλ1,…}is dense in Lp[0, 1] if and only ifΣi=0∞λi+1/p(λi+1/p)2+1=∞.
ISSN:0024-6107
DOI:10.1112/jlms/54.1.102
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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9. |
Group Representations and Stability of Functional Equations |
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Journal of the London Mathematical Society,
Volume 54,
Issue 1,
2016,
Page 111-120
Ekaterina V. Shulman,
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ISSN:0024-6107
DOI:10.1112/jlms/54.1.111
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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10. |
Cut‐Down Method in the Inductive Limit Decomposition of Non‐Commutative Tori |
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Journal of the London Mathematical Society,
Volume 54,
Issue 1,
2016,
Page 121-134
George A. Elliott,
Qing Lin,
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ISSN:0024-6107
DOI:10.1112/jlms/54.1.121
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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