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Title of Journal: Monatsh Math

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Abbravation: Monatshefte für Mathematik

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Springer Vienna

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DOI

10.1007/bf00747634

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1436-5081

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Simple exceptional groups of Lie type are determin

Authors: Hung P TongViet
Publish Date: 2011/03/26
Volume: 166, Issue: 3-4, Pages: 559-577
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Abstract

Let G be a finite group Denote by IrrG the set of all irreducible complex characters of G Let rm cdG=chi1chiin rm IrrG be the set of all irreducible complex character degrees of G forgetting multiplicities and let X1G be the set of all irreducible complex character degrees of G counting multiplicities Let H be any nonabelian simple exceptional group of Lie type In this paper we will show that if S is a nonabelian simple group and rm cdSsubseteq rm cdH then S must be isomorphic to H As a consequence we show that if G is a finite group with rm X 1Gsubseteq rm X 1H then G is isomorphic to H In particular this implies that the simple exceptional groups of Lie type are uniquely determined by the structure of their complex group algebras

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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. Löwner chains with complex leading coefficient
  7. On a functional equation related to derivations in prime rings
  8. Ricci solitons and odd-dimensional spheres
  9. Regularity properties of distributions through sequences of functions
  10. An explicit growth condition for middle-degree cuspidal cohomology of arithmetically defined quaternionic hyperbolic n -manifolds
  11. Operations with monotone operators and the monotonicity of the resulting operators
  12. Normal families of meromorphic functions and shared values
  13. Some New Results on the Chu Duality of Discrete Groups
  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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