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  1. Acta Mathematica Sinica, English Series
  2. Acta Mathematica Sinica, English Series : Volume 29
  3. Acta Mathematica Sinica, English Series : Volume 29, Issue 4, April 2013
  4. On inclusion of permutation modules
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Acta Mathematica Sinica, English Series : Volume 32
Acta Mathematica Sinica, English Series : Volume 31
Acta Mathematica Sinica, English Series : Volume 30
Acta Mathematica Sinica, English Series : Volume 29
Acta Mathematica Sinica, English Series : Volume 29, Issue 12, December 2013
Acta Mathematica Sinica, English Series : Volume 29, Issue 11, November 2013
Acta Mathematica Sinica, English Series : Volume 29, Issue 10, October 2013
Acta Mathematica Sinica, English Series : Volume 29, Issue 9, September 2013
Acta Mathematica Sinica, English Series : Volume 29, Issue 8, August 2013
Acta Mathematica Sinica, English Series : Volume 29, Issue 7, July 2013
Acta Mathematica Sinica, English Series : Volume 29, Issue 6, June 2013
Acta Mathematica Sinica, English Series : Volume 29, Issue 5, May 2013
Acta Mathematica Sinica, English Series : Volume 29, Issue 4, April 2013
Three-space problems for the bounded compact approximation property
Essential norms of composition operators between weighted bergman spaces of the unit disc
Reflected backward doubly stochastic differential equations with discontinuous coefficients
A microscopic convexity principle for spacetime convex solutions of fully nonlinear parabolic equations
On Wiener-Poisson type multivalued stochastic differential equations with non-Lipschitz coefficients
Vector cascade algorithms with infinitely supported masks in weighted L 2-spaces
Non-recurrence of exp(z)/z
On inclusion of permutation modules
λ-Central BMO estimates for commutators of multilinear maximal operators
Almost sure convergence theorem and strong stability for weighted sums of NSD random variables
The local and global existence of solutions for a generalized Camassa-Holm equation
Convergence in law to operator fractional Brownian motion of Riemann-Liouville type
Similarity of multiplication operators on the Sobolev disk algebra
Anisotropic curl-free wavelet bases on the unit cube
Dynamically consistent nonlinear evaluations with their generating functions in L p
Acta Mathematica Sinica, English Series : Volume 29, Issue 3, March 2013
Acta Mathematica Sinica, English Series : Volume 29, Issue 2, February 2013
Acta Mathematica Sinica, English Series : Volume 29, Issue 1, January 2013
Acta Mathematica Sinica, English Series : Volume 28
Acta Mathematica Sinica, English Series : Volume 27
Acta Mathematica Sinica, English Series : Volume 26
Acta Mathematica Sinica, English Series : Volume 25
Acta Mathematica Sinica, English Series : Volume 24
Acta Mathematica Sinica, English Series : Volume 23
Acta Mathematica Sinica, English Series : Volume 22
Acta Mathematica Sinica, English Series : Volume 21
Acta Mathematica Sinica, English Series : Volume 20
Acta Mathematica Sinica, English Series : Volume 19
Acta Mathematica Sinica, English Series : Volume 18
Acta Mathematica Sinica, English Series : Volume 17
Acta Mathematica Sinica, English Series : Volume 16
Acta Mathematica Sinica, English Series : Volume 15
Acta Mathematica Sinica, English Series : Volume 14
Acta Mathematica Sinica, English Series : Volume 13

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On inclusion of permutation modules

Content Provider Springer Nature Link
Author Wang, Li Zhong
Copyright Year 2013
Abstract Let H 1, H 2 be subgroups of a finite group G. Assume that G = ∪ i=1 m H 2 y i H 1 = ∪ j=1 n H 1 g j H 1 and that y 1 = 1, g 1 = 1. Let D i be the set consisting of right cosets of H 2 contained in H 2 y i H 1 and let d j (j = 1, ..., n) be the set consisting of right cosets contained in H 1 g j H{ia1}. We define the n×m matrix M z (z = 1, ...,m) whose columns and rows are indexed by D i and d j respectively and the (d k ,D l ) entry is \D z g k ∩ D l \. Let M = (M 1, ..., M m ). Assume that $$1_{H_1 }^G$$ and $$1_{H_2 }^G$$ are semisimple permutation modules of a finite group G. In this paper, by using the matrix M, we give some sufficient and necessary conditions such that $$1_{H_1 }^G$$ is isomorphic to a submodule of $$1_{H_2 }^G$$ . As an application, we prove Foulkes’ conjecture in special cases.
Ending Page 728
Page Count 12
Starting Page 717
File Format PDF
ISSN 14398516
e-ISSN 14397617
Journal Acta Mathematica Sinica, English Series
Issue Number 4
Volume Number 29
Language English
Publisher Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Publisher Date 2012-11-29
Publisher Place Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Modular representations and characters Schur’s lemma Foulkes’ conjecture Permutaion module double cosets Mathematics
Content Type Text
Resource Type Article
Subject Applied Mathematics
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