Results 101 to 110 of about 3,053 (239)

Multiplicative Groups of Galois Extensions

open access: yesJournal of Algebra, 1994
The author obtains the following interesting results: Theorem. Let \(K\) be a Galois extension of \(k\) with Galois group \(G\) and suppose that \(G\) contains two dihedral subgroups \(D_ p\) and \(D_ q\) for distinct odd primes \(p\), \(q\). Then if \(F_ 1,\dots, F_ N\) are the maximal proper subfields of \(K/k\) then \(K^ \times= F_ 1^ \times \dots ...
openaire   +1 more source

Isometries in Galois spaces

open access: yesLe Matematiche, 1992
We determine the group of isometries of certain spherical spaces which are embedded in Galois Spaces. Concerning other results of similar type see [2],[3],[4],[5],[6].
Walter Benz
doaj  

On separable algebras in Grothendieck Galois theory

open access: yesLe Matematiche, 1996
We give an explicit proof of the fundamental theorem of Grothendieck Galois theory: the category of separable algebras over a field K is anti-equivalent to the category of continuous actions on finite sets of the profinite fundamental group of K.
Federico G. Lastaria
doaj  

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