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Autor:
Kulikova, O. V.
Let $F$ be a non-Abelian free group with basis $A$, $M$ and $N$ be the normal closures of sets $R_M$ and $R_N$ of words in the alphabet $A^{\pm 1}$. As is known, the group $F/[N, N]$ is torsion-free, but, in general, torsion in $F/[M, N]$ is possible
Externí odkaz:
http://arxiv.org/abs/2402.10531
Autor:
Kulikova, O. V.1,2 (AUTHOR) olga.kulikova@mail.ru
Publikováno v:
Mathematical Notes. Aug2023, Vol. 114 Issue 1/2, p99-107. 9p.
Akademický článek
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Autor:
Kulikova, O. V.
Let $N_1$ (resp., $N_2$) be the normal closure of a finite symmetrized set $R_1$ (resp., $R_2$) of a finitely generated free group $F = F(A)$. It is well-known that if $R_i$ satisfies the condition C(6), then the conjugacy problem is solvable in $F/N
Externí odkaz:
http://arxiv.org/abs/1109.1254
Autor:
Kulikova, O. V., Olshanskii, A. Yu.
Publikováno v:
Vestnik of Moscow University, Ser.1, Mathematics, Mechanics, 2006 N6 p. 19-21
The characterization of normal subgroups M, N of free group F for which the quotient group F/[M,N] is finitely presented is given.
Comment: 6 pages
Comment: 6 pages
Externí odkaz:
http://arxiv.org/abs/math/0703604
Publikováno v:
AIP Conference Proceedings; 2023, Vol. 2624 Issue 1, p1-5, 5p
Autor:
Kulikova, O. V.
It is proved that the commutator subgroup of the fundamental group of the complement of any plane affine irreducible Hurwitz curve (respectively, any plane affine irreducible pseudoholomorphic curve) is finitely presented. It is shown that there exis
Externí odkaz:
http://arxiv.org/abs/math/0409027
Autor:
Kulikova, O. V.1 (AUTHOR) olga.kulikova@mail.ru
Publikováno v:
Journal of Mathematical Sciences. Apr2022, Vol. 262 Issue 5, p702-717. 16p.
Autor:
Kulikova, O. V.1 (AUTHOR), Shchegoleva, N. E.1 (AUTHOR) Natalia.shchegoleva@yandex.ru, Lebedeva, Yu. E.1 (AUTHOR), Vaganova, M. L.1 (AUTHOR), Chainikova, A. S.1 (AUTHOR)
Publikováno v:
Glass & Ceramics. Mar2022, Vol. 78 Issue 11/12, p436-441. 6p.
Publikováno v:
Glass & Ceramics; Jan2024, Vol. 80 Issue 9/10, p404-408, 5p