Finite simple groups with short Galois orbits on conjugacy classes

Victor Bovdi; Thomas Breuer; Attila Maróti

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arXiv · 1810.07421

Finite simple groups with short Galois orbits on conjugacy classes

Victor Bovdi·Thomas Breuer·Attila Maróti

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Abstract

All finite simple groups are determined with the property that every Galois orbit on conjugacy classes has size at most 4. From this we list all finite simple groups $G$ for which the normalized group of central units of the integral group ring ZG is an infinite cyclic group.

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BibTeX RIS

Victor Bovdi, Thomas Breuer, Attila Maróti. 2018-10-17. Finite simple groups with short Galois orbits on conjugacy classes. https://arxiv.org/abs/1810.07421

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