scholarly journals A remark on generalized free products

1962 ◽  
Vol 13 (1) ◽  
pp. 53-53 ◽  
Author(s):  
Gilbert Baumslag
Keyword(s):  
Free Products ◽  
Generalized Free Products

scholarly journals The residual finiteness of HNN-extensions and generalized free products of nilpotent groups: a characterization

1992 ◽  
Vol 53 (3) ◽  
pp. 408-420 ◽  
Author(s):  
E. Raptis ◽  
D. Varsos
Keyword(s):  
Nilpotent Groups ◽  
Residual Finiteness ◽  
Finitely Generated ◽  
Free Products ◽  
Hnn Extensions ◽  
Base Group ◽  
Generalized Free Products

AbstractWe study the residual finiteness of free products with amalgamations and HNN-extensions of finitely generated nilpotent groups. We give a characterization in terms of certain conditions satisfied by the associated subgroups. In particular the residual finiteness of these groups implies the possibility of extending the isomorphism of the associated subgroups to an isomorphism of their isolated closures in suitable overgroups of the factors (or the base group in case of HNN-extensions).

scholarly journals Algebraic K-Theory of Generalized Free Products, Part 2

1978 ◽  
Vol 108 (2) ◽  
pp. 205 ◽  
Author(s):  
Friedhelm Waldhausen
Keyword(s):  
Free Products ◽  
K Theory ◽  
Generalized Free Products

scholarly journals Generalized Free Products of $\pi_c$ Groups

1992 ◽  
Vol 22 (4) ◽  
pp. 1589-1593
Author(s):  
P.C. Wong ◽  
H.L. Koay
Keyword(s):  
Free Products ◽  
Generalized Free Products

scholarly journals On the Root-Class Residuallity of Generalized Free Products

2015 ◽  
Vol 20 (1) ◽  
pp. 133-137 ◽  
Author(s):  
E. A. Tumanova
Keyword(s):  
Free Product ◽  
Sufficient Condition ◽  
Free Products ◽  
Generalized Free Product ◽  
Amalgamated Subgroup ◽  
Root Class ◽  
Generalized Free Products

Let K be a root class of groups. It is proved that a free product of any family of residually K groups with one amalgamated subgroup, which is a retract in all free factors, is residually K. The sufficient condition for a generalized free product of two groups to be residually K is also obtained, provided that the amalgamated subgroup is normal in one of the free factors and is a retract in another.

scholarly journals Generalized free products

2001 ◽  
Vol 88 (2) ◽  
pp. 175-192
Author(s):  
J. D. Monk
Keyword(s):  
Free Products ◽  
Generalized Free Products
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