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Paper
Title

Character expansiveness in finite groups

Year: 1392
COI: JR_THEGR-2-2_002
Language: EnglishView: 23
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Authors

Zoltan Halasi - University of Debrecen
Attila Maroti - Renyi Institute of Mathematics
Franciska Petenyi - Technical University of Budapest

Abstract:

We say that a finite group G is conjugacy expansive if for any normal subset S and any conjugacy class C of G the normal set SC consists of at least as many conjugacy classes of G as S does. Halasi, Mar\'oti, Sidki, Bezerra have shown that a group is conjugacy expansive if and only if it is a direct product of conjugacy expansive simple or abelian groups. By considering a character analogue of the above, we say that a finite group G is character expansive if for any complex character \alpha and irreducible character \chi of G the character \alpha \chi has at least as many irreducible constituents, counting without multiplicity, as \alpha does. In this paper we take some initial steps in determining character expansive groups.

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Paper COI Code

This Paper COI Code is JR_THEGR-2-2_002. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/1199580/

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If you want to refer to this Paper in your research work, you can simply use the following phrase in the resources section:
Halasi, Zoltan and Maroti, Attila and Petenyi, Franciska,1392,Character expansiveness in finite groups,https://civilica.com/doc/1199580

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  • C. Bessenrodt and A. Kleshchev (1999). On Kronecker products of ...
  • W. Feit and G. M. Seitz (1989). On finite rational ...
  • P. ErdH os (1942). On an elementary proof of some ...
  • P. X. Gallagher (1970). The number of conjugacy classes in ...
  • The GAP Group (2007). GAP Groups, Algorithms, and Programming. ...
  • C. K"ohler and H. Pahlings (1999). Regular orbits and the ...
  • W. Feit (1993). in ``Linear Algebraic Groups and Their Representations. ...
  • Z. Halasi, A. Mar'oti, S. Sidki and M. Bezerra Conjugacy ...
  • H. W. Kuhn (1955). The Hungarian method for the assignment ...
  • I. G. Macdonald (1981). Numbers of conjugacy classes in some ...
  • href http://www.wolfram.com/mathematica http://www.wolfram.com/mathematica. ...
  • H. Nagao (1962). On a conjecture of Brauer for p-solvable ...
  • P. Schmid (2007). The solution of the k(GV) problem. ICP ...
  • 'A. Seress (1997). Primitive groups with no regular orbits on ...
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