二生成亚交换p-群的零化子理想
Annihilator ideals of two-generated metabelian p-groups
摘要：
对于具有两个生成元x和y的亚交换p-群G = <x，y>，利用G的一个表示，确定了G的主交换子[y，x]的零化子A < Z[X，Y]作为二元整系数整系数多项式的理想. Z[X，Y]模零化子A的剩余类环Z[X，Y]/A下的加法群与G的换位子群G'的Furtwängler同构允许计算G'的阿贝尔型。
英文摘要：
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. Furtwängler'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'.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
