Filters compatible with isomorphism testing |
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Authors: | Joshua Maglione |
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Affiliation: | 1. IMECC, UNICAMP, Sérgio Buarque de Holanda 651, 13083-859 Campinas, SP, Brazil;2. Dipartimento di Matematica e Informatica, Università degli Studi di Palermo, Via Archirafi 34, 90123, Palermo, Italy |
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Abstract: | Like the lower central series of a nilpotent group, filters generalize the connection between nilpotent groups and graded Lie rings. However, unlike the case with the lower central series, the associated graded Lie ring may share few features with the original group: e.g. the associated Lie ring can be trivial or arbitrarily large. We determine properties of filters such that every isomorphism between groups is induced by an isomorphism between graded Lie rings. |
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Keywords: | 20D15 20F18 |
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