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Mathematics > Group Theory

arXiv:math/0404472 (math)
[Submitted on 26 Apr 2004 (v1), last revised 18 Feb 2006 (this version, v4)]

Title:Diagrams with Selection and Method for Constructing Boundedly Generated and Boundedly Simple Groups

Authors:Alexey Muranov
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Abstract: The existence of an infinite simple boundedly generated 2-generated group and the existence of a boundedly simple 2-generated group containing a free non-cyclic subgroup are proved.
Comments: version 4; 40 pages, 1 figure; an error in the statement of Theorem 1 is corrected (the set $S$ should not be allowed to contain proper powers); v3: a flaw in the proof of the main theorem is corrected (the assumtions of maps' being non-exceptional are removed from the hypotheses of Estimating Lemma 1 and Inductive Lemma 2)
Subjects: Group Theory (math.GR)
MSC classes: 20E32, 20F05, 20F06
Cite as: arXiv:math/0404472 [math.GR]
  (or arXiv:math/0404472v4 [math.GR] for this version)
  https://doi.org/10.48550/arXiv.math/0404472
Journal reference: Comm. Algebra 33 (2005), no. 4
Related DOI: https://doi.org/10.1081/AGB-200053951

Submission history

From: Alexey Muranov [view email]
[v1] Mon, 26 Apr 2004 23:37:56 UTC (48 KB)
[v2] Tue, 19 Oct 2004 20:02:27 UTC (48 KB)
[v3] Thu, 21 Apr 2005 17:44:27 UTC (48 KB)
[v4] Sat, 18 Feb 2006 19:34:53 UTC (48 KB)
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