Let V denote a finite-dimensional K vector space and let G denote a finite group of K-linear automorphisms of V. Let V m denote the direct sum of m copies of V and let G act on the symmetric algebra K[V m ] of V m by the diagonal action on V m . A result of Noether implies that, if char K=0, then K[
Rational invariants of certain classical groups over finite fields
β Scribed by Jizhu Nan; Yin Chen
- Book ID
- 107376077
- Publisher
- Higher Education Press and Springer
- Year
- 2008
- Tongue
- English
- Weight
- 121 KB
- Volume
- 3
- Category
- Article
- ISSN
- 1673-3452
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Let G be PSΒΈL(q), PSΒΊ L (q), Sp L (q) or PSp L (q), where q is a power of the prime p. Using results on the numbers of special squarefree polynomials over finite fields, we describe and count the conjugacy classes of p-elements with abelian centralizers in G. Similar results are obtained for the sem
to helmut wielandt for his 90th birthday with much respect and many congratulations , where m X t is its minimal polynomial and c X t is its characteristic polynomial det tI -X . This condition is equivalent to requiring the vector space F d of 1 Γ d row vectors over F to be cyclic as an F X -modul