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arXiv · 2602.03830

Generation of Iterated Wreath Products Constructed from Almost Simple Groups

Jiaping Lu
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Abstract

Let G1, G2, ... be a sequence of almost simple groups and construct a sequence (Wi) of wreath products via W1 = G1 and, for each i > 1, Wi+1 = Gi+1 wr Wi via the regular action of each Gi. We determine the minimum number d(Wi) of generators required for each wreath product in this sequence.

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Jiaping Lu. 2026-02-03. Generation of Iterated Wreath Products Constructed from Almost Simple Groups. https://arxiv.org/abs/2602.03830

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