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The paper strengthens a type amalgamation result for $\operatorname{NTP}_2$ theories 
previously obtained in [BYC14], by combining that result with a 
``self-amalgamation'' trick. Using this strengthened version, it is shown that 
under $\operatorname{NTP}_2$, the diameter of a Lascar strong type over an extension base 
is at most 2, answering a question in [BYC14]. 

Separately, the paper introduces and considers \emph{generically simple 
generics} of definable groups in $\operatorname{NTP}_2$, generalising generically stable 
generics in $\operatorname{NIP}$. In particular, it is shown that in a group $G$ which has a 
generically simple generic, any type $q$ which is f-generic (meaning 
$g\cdot\phi$ does not fork over $A$ for any $g \in G$ and $L(A)$-formula $\phi 
\in q$) does not fork over any extension base.

{\small \em Review licensed under CC-BY-SA 4.0 by Martin Bays 2021}
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