Breaking points in centralizer lattices |
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Authors: | Marius Tărnăuceanu |
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Institution: | Faculty of Mathematics, “Al.I. Cuza” University, Ia?i, Romania |
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Abstract: | In this note, we prove that the centralizer lattice of a group G cannot be written as a union of two proper intervals. In particular, it follows that has no breaking point. As an application, we show that the generalized quaternion 2-groups are not capable. |
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