Annihilator ideals of two-generated metabelian p-groups
Group Theory
2016-03-31 v1
Abstract
For a metabelian p-group G = <x,y> with two generators x and y, the annihilator A < Z[X,Y] of the main commutator [y,x] of G, as an ideal of bivariate polynomials with integer coefficients, is determined by means of a presentation for G. Furtw\"angler's isomorphism of the additive group underlying the residue class ring Z[X,Y]/A of Z[X,Y] modulo the annihilator A to the commutator subgroup G' of G admits the calculation of the abelian type of G'.
Cite
@article{arxiv.1603.09288,
title = {Annihilator ideals of two-generated metabelian p-groups},
author = {Daniel C. Mayer},
journal= {arXiv preprint arXiv:1603.09288},
year = {2016}
}
Comments
22 pages, 6 tables