scholarly journals Comeagre conjugacy classes and free products with amalgamation

2005 ◽  
Vol 291 (1-3) ◽  
pp. 135-142 ◽  
Author(s):  
Dugald Macpherson ◽  
Simon Thomas
Keyword(s):  
Conjugacy Classes ◽  
Free Products ◽  
Free Products With Amalgamation

scholarly journals Separating conjugates in amalgamated free products and HNN extensions

1980 ◽  
Vol 29 (1) ◽  
pp. 35-51 ◽  
Author(s):  
Joan L. Dyer
Keyword(s):  
Nilpotent Groups ◽  
Conjugacy Classes ◽  
Free Products ◽  
Amalgamated Free Products ◽  
Hnn Extensions ◽  
Nontrivial Center ◽  
One Relator Groups ◽  
Amalgamated Subgroup ◽  
Conjugacy Separable ◽  
Base Group

AbstractA group G is termed conjugacy separable (c.s.) if any pair of distinct conjugacy classes may be mapped to distinct conjugacy classes in some finite epimorph of G. The free product of A and B with cyclic amalgamated subgroup H is shown to be c.s. if A and B are both free, or are both finitely generated nilpotent groups. Further, one-relator groups with nontrivial center and HNN extensions with c.s. base group and finite associated subgroups are also c.s.

On the width in free products with amalgamation

2000 ◽  
Vol 68 (3) ◽  
pp. 306-311 ◽  
Author(s):  
I. V. Dobrynina
Keyword(s):  
Free Products ◽  
Free Products With Amalgamation

Free products with amalgamation of semigroups

1993 ◽  
Vol 46 (1) ◽  
pp. 54-61 ◽  
Author(s):  
Deko V. Dekov
Keyword(s):  
Free Products ◽  
Free Products With Amalgamation

The word problem for small cancellation quotients of groups acting on trees

1992 ◽  
Vol 121 (3-4) ◽  
pp. 361-374
Author(s):  
R. M. S. Mahmud
Keyword(s):  
Word Problem ◽  
Small Cancellation ◽  
Free Products ◽  
Small Cancellation Theory ◽  
Products Of Groups ◽  
Groups Acting On Trees ◽  
Free Products With Amalgamation

SynopsisThe small cancellation theory over free products with amalgamation and HNN groups is extended to groups acting on trees in which the action with inversions is possible. This will include the case of tree products of groups and treed-HNN groups.

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