Abstract | ||
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We study a twisted version of Grigorchuk's first group, and stress its similarities and differences to its model.In particular, we show that it admits a finite endomorphic presentation, has infinite-rank multiplier, and does not have the congruence property. |
Year | DOI | Venue |
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2010 | 10.1142/S0218196710005728 | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION |
Keywords | Field | DocType |
Self-similar group, automata group, group acting on tree, torsion group, just-infinite group, endomorphic presentation, Schur multiplier, congruence property | Grigorchuk group,Discrete mathematics,Algebra,Perfect group,G-module,Dicyclic group,Presentation of a group,Quaternion group,Schur multiplier,Mathematics,Alternating group | Journal |
Volume | Issue | ISSN |
20 | 4 | 0218-1967 |
Citations | PageRank | References |
2 | 0.58 | 0 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Laurent Bartholdi | 1 | 27 | 8.74 |
Olivier Siegenthaler | 2 | 2 | 0.92 |