On the Cardinality of Relator Sets of Groups F/ ∏ [Ni, Nj]
The present paper generalizes the results of our paper “On the finite presentability of the group F /[ M , N ]” to an arbitrary family of normal subgroups { N i | i ∈ I } in a free group F . We obtain conditions for finite presentability of the quotient group F / ∏ [ N i , N j ]. In both papers, th...
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| Veröffentlicht in: | Journal of mathematical sciences (New York, N.Y.) N.Y.), 2021-09, Vol.257 (6), p.834-838 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | The present paper generalizes the results of our paper “On the finite presentability of the group
F
/[
M
,
N
]” to an arbitrary family of normal subgroups {
N
i
|
i
∈
I
} in a free group
F
. We obtain conditions for finite presentability of the quotient group
F
/ ∏ [
N
i
,
N
j
]. In both papers, the proof of the main result is based on the properties of verbal wreath products introduced by Alfred Lvovich Shmelkin. |
|---|---|
| ISSN: | 1072-3374 1573-8795 |
| DOI: | 10.1007/s10958-021-05523-y |