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arXiv · 1606.06860

Integral group rings with all central units trivial

Gurmeet K. Bakshi·Sugandha Maheshwary·Inder Bir S. Passi
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Abstract

The object of study in this paper is the finite groups whose integral group rings have only trivial central units. Prime-power groups and metacyclic groups with this property are characterized. Metacyclic groups are classified according to the central height of the unit groups of their integral group rings.

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Gurmeet K. Bakshi, Sugandha Maheshwary, Inder Bir S. Passi. 2016-06-22. Integral group rings with all central units trivial. https://doi.org/10.1016/j.jpaa.2013.12.010

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