scholarly journals On Kronecker terms over global function fields

2020 ◽  
Vol 220 (3) ◽  
pp. 847-907 ◽  
Author(s):  
Fu-Tsun Wei
Keyword(s):  
Function Fields ◽  
Global Function ◽  
Global Function Fields

Quasirandom points and global function fields

1996 ◽  
pp. 269-296 ◽  
Author(s):  
Harald Niederreiter ◽  
Chaoping Xing
Keyword(s):  
Function Fields ◽  
Global Function ◽  
Global Function Fields

GLOBAL FUNCTION FIELDS WITH MANY RATIONAL PLACES OVER THE QUINARY FIELD

1997 ◽  
Vol 30 (4) ◽  
pp. 919-930 ◽  
Author(s):  
Harald Niederreiter ◽  
Chaoping Xing
Keyword(s):  
Function Fields ◽  
Global Function ◽  
Global Function Fields ◽  
Rational Places

scholarly journals Finite presentability of arithmetic groups over global function fields

1987 ◽  
Vol 30 (1) ◽  
pp. 23-39 ◽  
Author(s):  
Helmut Behr
Keyword(s):  
Small Groups ◽  
Function Fields ◽  
Algebraic Groups ◽  
Number Fields ◽  
Arithmetic Groups ◽  
Finitely Generated ◽  
Global Function ◽  
Global Function Fields ◽  
Finite Presentability ◽  
Finitely Presented

Arithmetic subgroups of reductive algebraic groups over number fields are finitely presentable, but over global function fields this is not always true. All known exceptions are “small” groups, which means that either the rank of the algebraic group or the set S of the underlying S-arithmetic ring has to be small. There exists now a complete list of all such groups which are not finitely generated, whereas we onlyhave a conjecture which groups are finitely generated but not finitely presented.

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