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Mathematics > Group Theory

Title: Finite symmetric groups are strongly verbally closed

Authors: Olga K. Karimova, Anton A. Klyachko
(Submitted on 2 May 2024)
Abstract: Answering a question of A. V. Vasil'ev, we show that each finite symmetric (or alternating) group $H$ is a retract of any group containing $H$ as a verbally closed subgroup.
Comments: 4 pages. A Russian version of this paper is at this http URL
Subjects: Group Theory (math.GR)
Cite as: arXiv:2405.01179 [math.GR]
  (or arXiv:2405.01179v1 [math.GR] for this version)

Submission history

From: Anton Klyachko [view email]
[v1] Thu, 2 May 2024 11:06:22 GMT (19kb)
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