Finite simple groups with short Galois orbits on conjugacy classes

Attila Mar\'oti; Thomas Breuer; Victor Bovdi

arxiv: 1810.07421 · v2 · pith:UEIMGTUPnew · submitted 2018-10-17 · 🧮 math.GR · math.RA· math.RT

Finite simple groups with short Galois orbits on conjugacy classes

Victor Bovdi , Thomas Breuer , Attila Mar\'oti This is my paper

classification 🧮 math.GR math.RAmath.RT

keywords finitegroupgroupssimpleclassesconjugacygaloiscentral

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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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Finite simple groups with short Galois orbits on conjugacy classes

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