Yeah, single parent household and yes, there are many studies which back-up the correlation to higher levels of criminality.
In Ohio cities where single motherhood is the norm rather than the exception, rates of child poverty and violent crime are high.
ifstudies.org
A higher correlation does not mean most children raised by single parents become criminals but it's a factor in increasing such likelihood.
I don't doubt that some general association exists...the more interesting questions are to what degree, how other relevant variables factor in, etc.
I realize you probably just posted that review paper as an example to show there is a fair amount of research on the topic...but it is worth noting that review merely identified whether statistical significance was reported in the included studies, which alone tells us very, very little (it tells us nothing about the strength or magnitude of the association, for example).
The second link does more...and it identifies other key variables at play, like poverty and neighbourhood quality, and also points to why some families end up in such circumstances. These are the types of details that matter.
A kid growing up in a single-parent family in a decent neighbourhood, who is not experiencing poverty, who has no day-to-day exposure to violence, crime, substance use, etc. at home or in the community, has some involvement of their 2nd parent in their life (or perhaps has other caregivers available, like extended family), has quality educational and social resources, etc. is going likely to experience life rather differently than the kid growing up in poverty, in a bad neighbourhood with shitty schools and no resources, with a fully absent 2nd parent, with a stressed or sketchy primary parent, no extended family, etc.
So is it as simple as the 'absence of the 2nd parent'...no. That is a generalization that does not take into account that it is a collection of factors that likely contribute to a child being more likely to become a perpetrator or victim of crime or violence (and of various types - it is very different for a kid to do illegal drugs vs. be involved in violent crime, for example).
