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Cornelia Minette Busch
Conjugacy classes of p-torsion in symplectic groups over S-integers
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| Published: |
July 26, 2006
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| Keywords: |
Representation theory, cohomology theory |
| Subject: |
20G05, 20G10 |
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Abstract
For any odd prime p we consider representations of a group of order
p in the symplectic group Sp(p-1,Z[1/n]) of
(p-1)×(p-1)-matrices over the ring Z[1/n], 0≠ n∈N.
We construct a relation between the conjugacy classes of subgroups P of
order p in the symplectic group and the ideal class group in the ring
Z[1/n] and we use this relation for the study of these conjugacy classes.
In particular we determine
the centralizer C(P) and N(P)/C(P) where N(P) denotes the normalizer.
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| Acknowledgements
Research supported by a grant "Estancias de jóvenes doctores y tecnólogos extranjeros en Espana" (SB 2001-0138) from the Ministerio de Educación, Cultura y Deporte.
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| Author information
Katholische Universität Eichstätt-Ingolstadt, MGF, D-85071 Eichstätt, Germany
cornelia.busch@ku-eichstaett.de
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