scholarly journals Bounded Generation of Two Families of S-Arithmetic Groups

2013 ◽  
Author(s):  
Andrea Heald
Keyword(s):  
Arithmetic Groups ◽  
Bounded Generation

Arithmetic groups and Salem numbers

1992 ◽  
Vol 75 (1) ◽  
pp. 97-102 ◽  
Author(s):  
B. Sury
Keyword(s):  
Arithmetic Groups ◽  
Salem Numbers

scholarly journals Counting and equidistribution in quaternionic Heisenberg groups

2021 ◽  
pp. 1-38
Author(s):  
JOUNI PARKKONEN ◽  
FRÉDÉRIC PAULIN
Keyword(s):  
Hyperbolic Geometry ◽  
Quaternion Algebra ◽  
Rational Points ◽  
Hyperbolic Spaces ◽  
Heisenberg Groups ◽  
Arithmetic Groups ◽  
Hermitian Forms ◽  
Dimension 2 ◽  
Counting Formula ◽  
The Relationship

Abstract We develop the relationship between quaternionic hyperbolic geometry and arithmetic counting or equidistribution applications, that arises from the action of arithmetic groups on quaternionic hyperbolic spaces, especially in dimension 2. We prove a Mertens counting formula for the rational points over a definite quaternion algebra A over ${\mathbb{Q}}$ in the light cone of quaternionic Hermitian forms, as well as a Neville equidistribution theorem of the set of rational points over A in quaternionic Heisenberg groups.

Classical projective geometry and arithmetic groups

1991 ◽  
Vol 290 (1) ◽  
pp. 441-462 ◽  
Author(s):  
Mark McConnell
Keyword(s):  
Projective Geometry ◽  
Arithmetic Groups

scholarly journals Hecke modules for arithmetic groups via bivariant K-theory

2018 ◽  
Vol 3 (4) ◽  
pp. 631-656 ◽  
Author(s):  
Bram Mesland ◽  
Mehmet Haluk Şengün
Keyword(s):  
Arithmetic Groups ◽  
K Theory ◽  
Hecke Modules

scholarly journals Bounded generation of SL2 over rings of S-integers with infinitely many units

2018 ◽  
Vol 12 (8) ◽  
pp. 1949-1974 ◽  
Author(s):  
Aleksander Morgan ◽  
Andrei Rapinchuk ◽  
Balasubramanian Sury
Keyword(s):  
Bounded Generation

Arithmetic groups

1979 ◽  
pp. 105-136 ◽  
Author(s):  
J.-P. Serre ◽  
Alan Robinson ◽  
Colin MacLachlan
Keyword(s):  
Arithmetic Groups

scholarly journals Cohomology sets inside arithmetic groups

2003 ◽  
Vol 107 (1) ◽  
pp. 27-33
Author(s):  
Stefan Kühnlein
Keyword(s):  
Arithmetic Groups
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