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On rigid tuples in linear groups of odd dimension

Title data

Dettweiler, Michael ; Reiter, Stefan:
On rigid tuples in linear groups of odd dimension.
In: Journal of Algebra. Vol. 222 (1999) Issue 2 . - pp. 550-560.
ISSN 1090-266X
DOI: https://doi.org/10.1006/jabr.1999.8032

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Official URL: Volltext

Abstract in another language

We construct examples of linearly rigid tuples which lead to regular Galois realizations over for linear and unitary groups GL2m + 1(q) and U2m + 1(q2), where q is odd and m > φ(q − 1) resp. m > φ(q + 1). The notion of linear rigidity was introduced by Strambach and Völklein (J. Reine Angew. Math., to appear) as an analogue of Katz' physically rigid systems (see N. M. Katz, “Rigid Local Systems,” Annals of Mathematics Studies, Vol. 139, Princeton Univ. Press, Princeton, NJ, 1996).

Further data

Item Type: Article in a journal
Refereed: Yes
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics IV (Number Theory)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics IV (Number Theory) > Chair Mathematics IV (Number Theorie) - Univ.-Prof. Dr. Michael Dettweiler
Result of work at the UBT: No
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 05 May 2023 06:51
Last Modified: 05 May 2023 07:07
URI: https://eref.uni-bayreuth.de/id/eprint/74330