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Tarski monster group is
necessarily simple. It was
shown by
Alexander Yu.
Olshanskii in 1979 that
Tarski groups exist, and that
there is a
Tarski p-group for...
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exponent are
given for
instance by
Tarski monster groups constructed by
Olshanskii. Burnside's
problem is a
classical question that
deals with the relationship...
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Aleksandr Yuryevich Olshansky (Russian: Александр Юрьевич Ольшанский; born 19
January 1946, Saratov) is a
Russian mathematician,
Doctor of
Physical and...
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statement is the so-called von
Neumann conjecture,
which was
disproved by
Olshanskii in 1980
using his
Tarski monsters.
Adyan subsequently showed that free...
- arXiv:math/9811105. doi:10.2307/3597195. JSTOR 3597195. MR 1933724. S2CID 119728458.
Olʹshanskii,
Alexander Yu.; Sapir, Mark V. (2002). "Non-amenable
finitely presented...
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automorphisms of the unit disk D. A
semigroup H of Gc,
first considered by
Olshanskii (1981), can be
defined by the
geometric condition: g ( D ¯ ) ⊂ D . {\displaystyle...
- includes, in particular, the work of Jean-Camille Birget,
Aleksandr Olʹshanskiĭ,
Eliyahu Rips and Mark
Sapir essentially characterizing the possible...
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Finite Groups and ****ociated Algebras. John
Wiley & Sons. pp. 256–262.
Olʹshanskiĭ, A. I︠U︡ (1991).
Geometry of
defining relations in groups. Dordrecht ;...
- Mathematics. Springer-Verlag, Berlin, 2001. ISBN 3-540-41158-5.
Alexander Yu.
Olʹshanskii,
Geometry of
defining relations in groups.
Translated from the 1989 Russian...
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semigroups in the
complexification of the Lie group,
first studied by
Grigori Olshanskii. They are
naturally ****ociated with
Hermitian symmetric spaces and their...