17 citations · 55 across the 8 of their papers we have counts for
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Finitely generated infinite simple groups of infinite square width and vanishing stable commutator length
Alexey Muranov
It is shown that there exist finitely generated infinite simple groups of infinite commutator width and infinite square width on which there exists no stably unbounded conjugation-…
A remark on groups without finite quotients
Jakub Gismatullin, Alexey Muranov
We notice that the class of nontrivial groups without proper subgroups of finite index is not elementary, because some groups in this class, such as , have ult…
Interpretation of the Arithmetic in certain groups of piecewise affine permutations of an interval
Tuna Altınel, Alexey Muranov
The Arithmetic is interpreted in all the groups of Richard Thompson and Graham Higman, as well as in other groups of piecewise affine permutations of an interval which generalize t…
Finitely generated infinite simple groups of infinite commutator width
Alexey Muranov
It is shown that there exists a finitely generated infinite simple group of infinite commutator width, and that the commutator width of a finitely generated infinite boundedly simp…
On torsion-free groups with finite regular file bases
Alexey Muranov
The following question was asked by V. V. Bludov in The Kourovka Notebook in 1995: If a torsion-free group has a finite system of generators , ..., such that every e…
Diagrams with Selection and Method for Constructing Boundedly Generated and Boundedly Simple Groups
Alexey Muranov
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…