Infinite Groups Containing a Proper Hughes Subgroup H3(G)

Infinite Groups Containing a Proper Hughes Subgroup H3(G)

We consider groups in which H 3 (G) is both nontrivial and proper. In particular, it is proved that in such a group, |G : H 3 (G)| = 3.

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Veröffentlicht in:Algebra and logic 2021, Vol.60 (3), p.196-199
Hauptverfasser: Guo, W., Lytkina, D. V., Mazurov, V. D.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Subgroups
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Beschreibung
Zusammenfassung:We consider groups in which H 3 (G) is both nontrivial and proper. In particular, it is proved that in such a group, |G : H 3 (G)| = 3.
ISSN:0002-5232
1573-8302
DOI:10.1007/s10469-021-09641-z