Modular invariant theory and the iterated total power operation (Q2717337)

The author studies the iterated total power operation at an odd prime. He announces a formula, whose proof appears elsewhere, for the coefficients of the double total power operation in terms of the basis of admissible monomials. Previously, a very nice formula in terms of the Milnor basis had been given by \textit{Huỳnh Mùi} [Math. Z. 193, 151-163 (1986; Zbl 0597.55019)] for all total power operations. NEWLINENEWLINENEWLINEThe author also obtains another proof of Mùi's normalization theorem by using the method from \textit{L. Lomonaco} [Proc. Am. Math. Soc. 115, No. 4, 1149-1155 (1992; Zbl 0753.55008)].NEWLINENEWLINEFor the entire collection see [Zbl 0953.00026].