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Generalizing Camina groups and their character tables

2008; De Gruyter; Volume: 12; Issue: 2 Linguagem: Inglês

10.1515/jgt.2008.073

1435-4446

Mark L. Lewis,

Geometric and Algebraic Topology

We generalize the definition of Camina groups. We show that our generalized Camina groups are exactly the groups isoclinic to Camina groups, and so many properties of Camina groups are shared by these generalized Camina groups. In particular, we show that if G is a nilpotent, generalized Camina group then its nilpotence class is at most 3. We use the information we collect about generalized Camina groups with nilpotence class 3 to characterize the character tables of these groups.