On rigid tuples in linear groups of odd dimension

Titelangaben

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

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Abstract

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).