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Finite presentability of arithmetic groups over global function fields

Published online by Cambridge University Press:  20 January 2009

Helmut Behr
Helmut Behr
Affiliation:
Universität Frankfurt am Main, West Germany
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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.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 30 , Issue 1 , February 1987 , pp. 23 - 39
Copyright
Copyright © Edinburgh Mathematical Society 1987

References

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