Invariant subgroups of groups of higher derivations
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- by James K. Deveney and John N. Mordeson PDF
- Proc. Amer. Math. Soc. 68 (1978), 277-280 Request permission
Abstract:
Let L be a field of characteristic $p > 3$. A subgroup G of the group D of all rank ${p^e}$ higher derivations on L is Galois if G is the group of all d in D having a given subfield in its field of constants. The field of constants of G is denoted as ${L^G}$. The main result states: Let $H \subseteq G$ be Galois subgroups of D. Then H is an invariant subgroup of G if and only if either ${L^H} = {L^G}({L^{{p^r}}})$ for some nonnegative integer r, or ${L^H} \subseteq {L^G}({L^{{p^e}}})$.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 68 (1978), 277-280
- MSC: Primary 12F15
- DOI: https://doi.org/10.1090/S0002-9939-1978-0476711-7
- MathSciNet review: 0476711