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Centralizers in residually finite torsion groups |
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| Authors: | Aner Shalev |
| Affiliation: | Institute of Mathematics, Hebrew University, Jerusalem 91904, Israel |
| Abstract: | Let  be a residually finite torsion group. We show that, if  has a finite 2-subgroup whose centralizer is finite, then  is locally finite. We also show that, if  has no  -torsion, and  is a finite 2-group acting on  in such a way that the centralizer  is soluble, or of finite exponent, then  is locally finite. |
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