p-Groups have unbounded realization multiplicity
Number Theory
2011-09-20 v1
Abstract
In this paper we interpret the solutions to a particular Galois embedding problem over an extension K/F whose Galois group is a finite, cyclic p group in terms of certain Galois submodules within the parameterizing space of elementary p-abelian extensions of K; here p is a prime. Combined with some basic facts about the module structure of this parameterizing space, this allows us to exhibit a class of p-groups whose realization multiplicity is unbounded.
Cite
@article{arxiv.1109.4070,
title = {p-Groups have unbounded realization multiplicity},
author = {Jen Berg and Andrew Schultz},
journal= {arXiv preprint arXiv:1109.4070},
year = {2011}
}
Comments
8 pages