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2011•Communications in AlgebraRequires access

The Normalizer Property for Integral Group Rings of Wreath Products of Finite Nilpotent Groups by Cyclic Groups

Zhengxing Li, Jinke Hai

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Abstract

Let G = NwrC n be the wreath product of N by C n , where N is a finite nilpotent group and C n is a cyclic group of order n. Then the normalizer property holds for G.

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What this paper is about

Let G = NwrC n be the wreath product of N by C n , where N is a finite nilpotent group and C n is a cyclic group of order n. Then the normalizer property holds for G.

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OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Let G = NwrC n be the wreath product of N by C n , where N is a finite nilpotent group and C n is a cyclic group of order n. Then the normalizer property holds for G.

Key concepts: Wreath product, Mathematics, Centralizer and normalizer, Nilpotent, Cyclic group, Nilpotent group, Sketch, p-group

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