Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Miroshnichenko, Veronika Yu."'
Publikováno v:
Journal of Algebra and Its Applications, 22:09 (2023), 2350188
We show, in particular, that, if a finite group $H$ is a retract of any finite group containing $H$ as a verbally closed subgroup, then the centre of $H$ is a direct factor of $H$.
Comment: 13 pages. A Russian version of this paper is at http://
Comment: 13 pages. A Russian version of this paper is at http://
Externí odkaz:
http://arxiv.org/abs/2109.12397
Publikováno v:
Journal of Algebra, 510 (2018), 319-330
Any virtually free group $H$ containing no non-trivial finite normal subgroup (e.g., the infinite dihedral group) is a retract of any finitely generated group containing $H$ as a verbally closed subgroup.
Comment: 6 pages. V2: minor corrections.
Comment: 6 pages. V2: minor corrections.
Externí odkaz:
http://arxiv.org/abs/1712.03406
Publikováno v:
In Journal of Algebra 15 September 2018 510:319-330
Publikováno v:
Journal of Algebra & Its Applications; Sep2023, Vol. 22 Issue 9, p1-19, 19p
Publikováno v:
Journal of Algebra and Its Applications.
We show, in particular, that, if a finite group $H$ is a retract of any finite group containing $H$ as a verbally closed subgroup, then the centre of $H$ is a direct factor of $H$.
Comment: 13 pages. A Russian version of this paper is at http://
Comment: 13 pages. A Russian version of this paper is at http://