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Search: MSC category 12F ( Field extensions )

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1. CMB 2006 (vol 49 pp. 11)

Bevelacqua, Anthony J.; Motley, Mark J.
 Going-Down Results for \$C_{i}\$-Fields We search for theorems that, given a \$C_i\$-field \$K\$ and a subfield \$k\$ of \$K\$, allow us to conclude that \$k\$ is a \$C_j\$-field for some \$j\$. We give appropriate theorems in the case \$K=k(t)\$ and \$K = k\llp t\rrp\$. We then consider the more difficult case where \$K/k\$ is an algebraic extension. Here we are able to prove some results, and make conjectures. We also point out the connection between these questions and Lang's conjecture on nonreal function fields over a real closed field. Keywords:\$C_i\$-fields, Lang's ConjectureCategories:12F, 14G

2. CMB 2006 (vol 49 pp. 113)

Ledet, Arne
 \$\PSL(2,2^n)\$-Extensions Over \$\mathbb F_{2^n}\$ We construct a one-parameter generic polynomial for \$\PSL(2,2^n)\$ over \$\mathbb F_{2^n}\$. Categories:12F12, 12E10

3. CMB 2002 (vol 45 pp. 422)

Ledet, Arne
 On the Essential Dimension of Some Semi-Direct Products We give an upper bound on the essential dimension of the group \$\mathbb{Z}/q\rtimes(\mathbb{Z}/q)^*\$ over the rational numbers, when \$q\$ is a prime power. Category:12F10

4. CMB 2001 (vol 44 pp. 313)