Title of article
On the relationships between the factors of the upper and lower central series in some non-periodic groups
Author/Authors
Dixon ، Martyn R. - University of Alabama , Kurdachenko ، Leonid A. - National University of Dnepropetrovsk , Subbotin ، Igor Ya. - National University
Pages
14
From page
37
To page
50
Abstract
This paper deals with the mutual relationships between the factor group G/ζ(G) (respectively G/ζk(G)) and G′ (respectively γk+1(G) and GN). It is proved that if G/ζ(G) (respectively G/ζk(G)) has finite 0-rank, then G′ (respectively γk+1(G) and GN) also have finite 0-rank. Furthermore, bounds for the 0-ranks of G′,γk+1(G) and GN are obtained.
Keywords
finite rank , torsion , free rank , section p , rank , generalized radical group.
Journal title
International Journal of Group Theory
Serial Year
2018
Journal title
International Journal of Group Theory
Record number
2449048
Link To Document