Abstract.
In this paper, we classify the finite-dimensional irreducible linear representations of the Baumslag–Solitar groups
for relatively prime p and q. The general strategy is to consider the matrix group given by the image of a representation and study its Zariski closure in
.
Received: 2012-01-07
Revised: 2012-02-20
Published Online: 2012-06-29
Published in Print: 2012-07-01
© 2012 by Walter de Gruyter Berlin Boston
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Artikel in diesem Heft
- Masthead
- Degrees, class sizes and divisors of character values
- On p-group Camina pairs
- Conjugacy expansiveness in finite groups
- Zero excess and minimal length in finite Coxeter groups
- Second order Dehn functions of Pride groups
- Some skew linear groups with Engel's condition
- Irreducible representations of Baumslag–Solitar groups
- On generators of crystallographic groups and actions on flat orbifolds
- Corrigendum Spinal groups: semidirect product decompositions and Hausdorff dimension [J. Group Theory 14 (2011), 491–519]
Artikel in diesem Heft
- Masthead
- Degrees, class sizes and divisors of character values
- On p-group Camina pairs
- Conjugacy expansiveness in finite groups
- Zero excess and minimal length in finite Coxeter groups
- Second order Dehn functions of Pride groups
- Some skew linear groups with Engel's condition
- Irreducible representations of Baumslag–Solitar groups
- On generators of crystallographic groups and actions on flat orbifolds
- Corrigendum Spinal groups: semidirect product decompositions and Hausdorff dimension [J. Group Theory 14 (2011), 491–519]