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Recognizing the characteristic of a simple group of Lie type from its Probabilistic Zeta function

Authors :
Massimiliano Patassini
Source :
Journal of Algebra. 332:480-499
Publication Year :
2011
Publisher :
Elsevier BV, 2011.

Abstract

We find a method to recognize the characteristic of a simple group of Lie type G from its Dirichlet polynomial P G ( s ) . This is enough to complete the proof of the following statement: if G is a simple group, H is a finite group and P G ( s ) = P H ( s ) , then H / Frat ( H ) ≅ G .

Details

ISSN :
00218693
Volume :
332
Database :
OpenAIRE
Journal :
Journal of Algebra
Accession number :
edsair.doi.dedup.....0bc64bded1f311d90cf2c1ac81f79a5b
Full Text :
https://doi.org/10.1016/j.jalgebra.2010.11.019