**ISBN:** 3540179755

**Author:** Herbert Abels

**Language:** English

**Publisher:** Springer; 1987 edition (August 17, 1987)

**Category:** Mathematics

**Subcategory:** Science

**Rating:** 4.7

**Votes:** 629

**Size Fb2:** 1155 kb

**Size ePub:** 1571 kb

**Size Djvu:** 1482 kb

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For certain solvable topological groups this problem may be reduced to an analogous problem, that of compact presentability.

Part of the Lecture Notes in Mathematics book series (LNM, volume 1261). The problem of determining which S-arithmetic groups have a finite presentation is solved for arbitrary linear algebraic groups over finite extension fields of For certain solvable topological groups this problem may be reduced to an analogous problem, that of compact presentability. Most of this monograph deals with this question.

The problem of determining which S-arithmetic groups have a finite presentation is solved for arbitrary linear algebraic groups over finite extension fields of For certain solvable topological groups this problem may be reduced to an analogous problem, that of compact.

The problem of determining which S-arithmetic groups have a finite presentation is solved for arbitrary linear algebraic groups over finite extension fields of For certain solvable topological groups this problem may be reduced to an analogous problem, that of compact presentability.

Abels H. (1987) S-arithmetic solvable groups. In: Finite Presentability of S-Arithmetic Groups Compact Presentability of Solvable Groups. Lecture Notes in Mathematics, vol 1261. Springer, Berlin, Heidelberg. First Online 19 September 2006. Publisher Name Springer, Berlin, Heidelberg. Print ISBN 978-3-540-17975-7. Online ISBN 978-3-540-47198-1.

Finding books BookSee BookSee - Download books for free. Finite Presentability of S-Arithmetic Groups. Category: Lecture notes. Compact Presentability of Solvable Groups.

Arithmetic subgroups of reductive algebraic groups over number fields are finitely presentable, but over globalĀ . bels, . Finite presentability of S-arithmetic groups-compact presentability of solvable groups, to appear.

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. Send article to Kindle.

Theory of Finite Groups Enumeration of Finite Groups. Characters of Finite Groups. Representations of Finite Groups. Report "Finite Presentability of S-Arithmetic Groups. Compact Presentability of Solvable Groups".

Finite presentability of S-arithmetic groups: compact presentability of solvable groups. 1987, Springer-Verlag. Download for print-disabled.

Arithmetic groups with isomorphic finite quotients Profinite completions and Kazhdan's property (T), Groups Geom. M Aka. M. Aka, Arithmetic groups with isomorphic finite quotients, J. Algebra 352 (2012), 322-340. In this way, several new computations are obtained for countable groups, including lattices in algebraic groups over local fields, and Kac-Moody lattices.