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

Mathematics – Group Theory

Scientific paper

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version 4; 40 pages, 1 figure; an error in the statement of Theorem 1 is corrected (the set $S$ should not be allowed to conta

Scientific paper

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.

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