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Units of group rings, the Bogomolov multiplier and the fake degree conjecture
Published online by Cambridge University Press: 09 September 2016
Abstract
Let π be a finite p-group and ${\mathbb{F}_{q}}$ a finite field with q = pn elements. Denote by $\I_{\mathbb{F}_{q}}$ the augmentation ideal of the group ring ${\mathbb{F}_{q}}$[π]. We have found a surprising relation between the abelianization of 1 + $\I_{\mathbb{F}_{q}}$, the Bogomolov multiplier B0(π) of π and the number of conjugacy classes k(π) of π:
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 163 , Issue 1 , July 2017 , pp. 115 - 123
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- Copyright © Cambridge Philosophical Society 2016
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