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[期刊论文] 作者:Daniel C. Mayer, 来源:应用数学与应用物理(英文) 年份:2018
Let p be a prime. For any finite p-group G, the deep transfers T H,G ' : H / H ' → G ' / G " from the maximal subgroups H of index (G:H) = p in G t...
[期刊论文] 作者:Daniel C. Mayer, 来源:理论数学进展(英文) 年份:2017
Let p be a prime and K be a number field with non-trivial p-class group ClpK. A crucial step in identifying the Galois group G∞p of the maximal unramified pro-...
[期刊论文] 作者:Daniel C. Mayer, 来源:理论数学进展(英文) 年份:2018
Based on a general theory of descendant trees of finite p-groups and the virtual periodicity isomorphisms between the branches of a coclass subtree, the behavio...
[期刊论文] 作者:Daniel C. Mayer, 来源:理论数学进展(英文) 年份:2017
Let F be a number field and p be a prime. In the successive approximation theorem, we prove that, for each integer n ≥ 1, finitely many candidates for the Galo...
[期刊论文] 作者:Daniel C. Mayer, 来源:理论数学进展(英文) 年份:2015
Given a fixed prime number p, the multiplet of abelian type invariants of the p-class groups of all unramified cyclic degree p extensions of a number field K is...
[期刊论文] 作者:Daniel C. Mayer, 来源:理论数学进展(英文) 年份:2015
Theoretical background and an implementation of the p-group generation algorithm by Newman and O’Brien are used to provide computational evidence of a new type...
[期刊论文] 作者:Daniel C. Mayer, 来源:应用数学与应用物理(英文) 年份:2015
Recent examples of periodic bifurcations in descendant trees of finite p-groups with ?are used to show that the possible p-class tower groups G of certain multi...
[期刊论文] 作者:Daniel C. Mayer, 来源:理论数学进展(英文) 年份:2019
By making use of our generalization of Barrucand and Cohn’s theory of principal factorizations in pure cubic fields and their Galois closures with 3 possible t...
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