On the non-existence of cyclic splitting fields for division algebras
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Mehran Motiee
Abstract
Let D be a division algebra over its center F of degree n.
Consider the group
Acknowledgements
The author thanks the referee for constructive comments. He is also grateful to the Research Council of Babol Noshirvani University of Technology for support. He wishes to thank Roozbeh Hazrat and Jean-Pierre Tignol for helpful suggestions on the expositions of this paper. He is also greatly indebted to Adrian Wadsworth for several helpful comments during the preparation of the paper.
References
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- Towards a Goldberg–Shahidi pairing for classical groups
- On the non-existence of cyclic splitting fields for division algebras
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Articles in the same Issue
- Frontmatter
- The variance of divisor sums in arithmetic progressions
- Characterizing Lie groups by controlling their zero-dimensional subgroups
- CM cycles on Kuga–Sato varieties over Shimura curves and Selmer groups
- Towards a Goldberg–Shahidi pairing for classical groups
- On the non-existence of cyclic splitting fields for division algebras
- Sequential motion planning algorithms in real projective spaces: An approach to their immersion dimension
- Very ampleness of the bicanonical line bundle on compact complex 2-ball quotients
- Anharmonic solutions to the Riccati equation and elliptic modular functions
- A non-homogeneous local Tb theorem for Littlewood–Paley g*λ-function with Lp-testing condition
- Saturation rank for finite group schemes: Finite groups and infinitesimal group schemes
- On symplectic semifield spreads of PG(5,q2), q odd
- From Freudenthal’s spectral theorem to projectable hulls of unital Archimedean lattice-groups, through compactifications of minimal spectra
- Golodness and polyhedral products for two-dimensional simplicial complexes
