Zeroes of permutation characters with applications to prime splitting and Brauer groups
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Publication:920152
DOI10.1016/0021-8693(90)90177-PzbMath0708.12005MaRDI QIDQ920152
Publication date: 1990
Published in: Journal of Algebra (Search for Journal in Brave)
Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Galois cohomology (12G05) Automorphisms of abstract finite groups (20D45) Finite simple groups and their classification (20D05) Brauer groups of schemes (14F22) Field extensions (12F99)
Related Items (8)
Conjugacy classes of derangements in finite transitive groups ⋮ Subgroups of finitep-groups inducing the same permutation character ⋮ An infinite series of Kronecker conjugate polynomials ⋮ Criterion for the equality of norm groups of idele groups of algebraic number fields ⋮ Kronecker conjugacy of polynomials ⋮ Afterword to the article “A brief history of the classification of the finite simple groups” ⋮ On an obstruction to the Hasse norm principle and the equality of norm groups of algebraic number fields ⋮ On the Distribution of Norm Groups of Algebraic Number Fields
Cites Work
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- The maximal subgroups of Conway's group. 2
- Subgroups inducing the same permutation representation
- Subgroups inducing the same permutation representation. II
- Covering subgroups of groups and Kronecker classes of fields
- On the equation \(\zeta_K(s)=\zeta_{K'}(s)\)
- Kronecker classes of algebraic number fields
- The maximal subgroups of Conway's group C\(_3\) and McLaughlin's group
- On a Question of W. Jehne Concerning Covering Subgroups of Groups and Kronecker Classes of Fields
- Projective Representations of Minimum Degree of Group Extensions
- Applications of the classification of finite simple groups to Brauer groups
- Maximal subgroups of finite groups
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