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Annihilator ideals of two-generated metabelian p-groups | Daniel C. Mayer
; | Date: |
30 Mar 2016 | 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’. | Source: | arXiv, 1603.9288 | Services: | Forum | Review | PDF | Favorites |
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