Yuanlin Li
Abstract
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Abstract In this paper, we first show that the central height of the unit group of the integral group ring of a periodic group is at most 2. We then give a complete characterization of the n-centre of that unit group. The n-centre of the unit group is either the centre or the second centre (for n ≥ 2).
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Abstract In this paper, we first show that the central height of the unit group of the integral group ring of a periodic group is at most 2. We then give a complete characterization of the n-centre of that unit group. The n-centre of the unit group is either the centre or the second centre (for n ≥ 2).
Key concepts: Unit (ring theory), Mathematics, Group (periodic table), Group ring, Ring (chemistry), Combinatorics, Mathematics education, Physics