scholarly journals On the congruence kernel of isotropic groups over rings

2020 ◽  
Vol 373 (7) ◽  
pp. 4585-4626 ◽  
Author(s):  
A. Stavrova
Keyword(s):  
2016 ◽  
Vol 292 (1) ◽  
pp. 216-246 ◽  
Author(s):  
Gopal Prasad ◽  
Andrei S. Rapinchuk

2019 ◽  
Vol 4 (3) ◽  
pp. 383-438
Author(s):  
David El-Chai Ben-Ezra

2020 ◽  
Vol 32 (2) ◽  
pp. 319-338 ◽  
Author(s):  
Jishnu Ray

AbstractIwasawa algebras of compact p-adic Lie groups are completed group algebras with applications in number theory in studying class numbers of towers of number fields and representation theory of p-adic Lie groups. We previously determined an explicit presentation of the Iwasawa algebra for the first principal congruence kernel of Chevalley groups over {\mathbb{Z}_{p}} which were uniform pro-p groups in the sense of Dixon, du Sautoy, Mann and Segal. In this paper, for prime {p>n+1}, we determine the explicit presentation, in the form of generators and relations, of the Iwasawa algebra of the pro-p Iwahori subgroup of {\mathrm{GL}_{n}(\mathbb{Z}_{p})} which is not, in general, a uniform pro-p group.


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