Endomorphic presentations of branch groups

[摘要] We introduce endomorphic presentations, or L-presentations: group presentations whose relations are iterated under a set of substitutions on the generating set, and show that a broad class of groups acting on rooted trees admit explicitly constructible finite L-presentations, generalising results by Igor Lysionok and Said Sidki. (C) 2003 Elsevier Inc. All rights reserved.

[发布日期] 2003-10-15

[关键词] fractal group;branch group;L-system;group presentation;Schur multiplier