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On the number of irreducible characters in a 3-block with a minimal nonabelian defect group.
- Source :
-
Acta Mathematica Sinica . Sep2017, Vol. 33 Issue 9, p1267-1274. 8p. - Publication Year :
- 2017
-
Abstract
- Let B be a 3-block of a finite group G with a defect group D. In this paper, we are mainly concerned with the number of characters in a particular block, so we shall use Isaacs' approach to block structure. We consider the block B of a group G as a union of two sets, namely a set of irreducible ordinary characters of G having cardinality k( B) and a set of irreducible Brauer characters of G having cardinality l( B). We calculate k( B) and l( B) provided that D is normal in G and $$D \cong \left\langle {x,y,z|x^{3^n } = y^{3^m } = z^3 = \left[ {x,z} \right] = \left[ {y,z} \right] = 1,\left[ {x,y} \right] = z} \right\rangle \left( {n > m \geqslant 2} \right)$$ . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14398516
- Volume :
- 33
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Acta Mathematica Sinica
- Publication Type :
- Academic Journal
- Accession number :
- 124504731
- Full Text :
- https://doi.org/10.1007/s10114-017-5792-4