Nonexcellent finite field extensions of 2-primary degree

作者：Sivatski A S^*

来源：Manuscripta Mathematica, 2016, 151(3-4): 549-565.

DOI：10.1007/s00229-016-0851-1

Let be a field of characteristic distinct from 2, a finite field extension of degree , . We prove that there exists a field extension linearly disjoint with such that the extension is nonexcellent. The crucial point is a construction of in some sense nonstandard elements in . We apply this construction as well for investigation of the group , where L / F is a -Galois extension. More precisely, let be the three intermediate quadratic extensions of F, and . We show that the quotient group can be arbitrarily large.

• 出版日期2016-11