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Title of Journal: Mh Math

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Abbravation: Monatshefte für Mathematik

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Springer-Verlag

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DOI

10.1002/pol.1974.170120309

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1436-5081

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Some New Results on the Chu Duality of Discrete Gr

Authors: Salvador Hernández TaSun Wu
Publish Date: 2006/03/02
Volume: 149, Issue: 3, Pages: 215-232
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Abstract

This paper deals mainly with the Chu duality of discrete groups Among other results we give sufficient conditions for an FC group to satisfy Chu duality and characterize when the Chu quasidual and the Takahashi quasidual of a group G coincide As a consequence it follows that when G is a weak sum of a family of finite simple groups if the exponent of the groups in the family is bounded then G satisfies Chu duality on the other hand if the exponent of the group goes to infinity then the Chu quasidual of G coincides with its Takahashi quasidual We also present examples of discrete groups whose Chu quasiduals are not locally compact and examples of discrete Chu reflexive groups which contain nontrivial sequences converging in the Bohr topology of the groups Our results systematize some previous work and answer some open questions on the subject 2 16 3

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Other Papers In This Journal:
  1. A central limit theorem for integer partitions
  2. Fully commutative elements in finite and affine Coxeter groups
  3. On semi-rational finite simple groups
  4. Integer-valued polynomials over matrices and divided differences
  5. On mean values of multiplicative functions on the symmetric group
  6. Simple exceptional groups of Lie type are determined by their character degrees
  7. Löwner chains with complex leading coefficient
  8. On a functional equation related to derivations in prime rings
  9. Ricci solitons and odd-dimensional spheres
  10. Regularity properties of distributions through sequences of functions
  11. An explicit growth condition for middle-degree cuspidal cohomology of arithmetically defined quaternionic hyperbolic n -manifolds
  12. Operations with monotone operators and the monotonicity of the resulting operators
  13. Normal families of meromorphic functions and shared values
  14. Cauchy integral and singular integral operator over closed Jordan curves
  15. The zero-free region of the derivative of Selberg zeta functions
  16. A note on Engel words of finite groups
  17. Equivalence of plurisubharmonic singularities and Siu-type metrics
  18. Palindromic Prefixes and Diophantine Approximation
  19. Effective uniqueness of Parry measure and exceptional sets in ergodic theory
  20. On matrix valued square integrable positive definite functions
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