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arXiv · 1603.09288

Annihilator ideals of two-generated metabelian p-groups

Daniel C. Mayer
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Abstract

For a metabelian p-group G = 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'.

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Daniel C. Mayer. 2016-03-30. Annihilator ideals of two-generated metabelian p-groups. https://arxiv.org/abs/1603.09288

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