JP Journal of Algebra, Number Theory and Applications
Volume 37, Issue 2, Pages 133 - 155
(October 2015) http://dx.doi.org/10.17654/JPANTAOct2015_133_155 |
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A NOTE ON RELATIVE KUMMER EXTENSIONS
Fernando Barrera Mora and Pablo Lam Estrada
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Abstract: Given p a rational prime, n a positive integer, a cyclic extension of degree so that Let denote the irreducible polynomial of A over K. For a positive integer u, consider the polynomial where Let W denote the splitting field of For is a Kummer extension of degree for some In [1], Albert asked: How do we choose A in such a way that In this paper, we find the necessary and sufficient conditions on A so that particularly, for we discuss the case |
Keywords and phrases: Kummer extensions, radical extensions, p-groups. |
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