The Klein bottle group is not strongly verbally closed, though awfully close to being so
Canadian mathematical bulletin, Tome 64 (2021) no. 2, pp. 491-497
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According to Mazhuga’s theorem, the fundamental group H of anyconnected surface, possibly except for the Klein bottle, is a retract of each finitely generated group containing H as a verbally closed subgroup. We prove that the Klein bottle group is indeed an exception but has a very close property.
Klyachko, Anton A. The Klein bottle group is not strongly verbally closed, though awfully close to being so. Canadian mathematical bulletin, Tome 64 (2021) no. 2, pp. 491-497. doi: 10.4153/S0008439520000582
@article{10_4153_S0008439520000582,
author = {Klyachko, Anton A.},
title = {The {Klein} bottle group is not strongly verbally closed, though awfully close to being so},
journal = {Canadian mathematical bulletin},
pages = {491--497},
year = {2021},
volume = {64},
number = {2},
doi = {10.4153/S0008439520000582},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000582/}
}
TY - JOUR AU - Klyachko, Anton A. TI - The Klein bottle group is not strongly verbally closed, though awfully close to being so JO - Canadian mathematical bulletin PY - 2021 SP - 491 EP - 497 VL - 64 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000582/ DO - 10.4153/S0008439520000582 ID - 10_4153_S0008439520000582 ER -
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