I’m not sure what the precise answer to your question is.
Since i don’t know how many and what gene’s lead to a sensitivity to cracking.
I think tomato cracking is mostly due to the inside of the fruit swelling/growing faster than the skin. Likely multiple gene’s and environmental conditions are involved. I would not expect a single recessive or dominant gene to influence all factors that can lead to a tomato splitting (or not splitting)
Generally though, F2 plants have large variability and thus are dissimilair from the F1. (F1 hybrid that is)
So you might find a few plants that don’t have the cracking susceptibility. But most likely they will miss some of the other good properties the F1 had.
However, if i try to guess the “goal” of your question. I think you have a F1 hybrid your very happy with, but it splits a lot. Thus you want the positive properties of that F1 without the splitting?
If this is the case, i would first look to culture measures. Splitting usually occurs due to large swings in soil moisture. (rain after dry spel)
Keeping the soil moisture more consistent. (watering during dry period, mulch etc. good soil drainage)
This alone might solve your problem with the F1 plants.
Another option might be grafting them to a more forgiving rootstock (either commercial disease resistant rootstock. Or from a vigorous cultivar or wild tomato)
i have limited experience growing tomato’s, compared to some seasoned gardeners. So take this all with a grain of salt.
I am planning to do some tomato grafting experiments this year. I want to graft some tomato’s to more cold hardy stock. To see if that helps them deal with our climate a little better. (soil temperature takes quite a while to get up to the range tomato’s prefer where we live)
if however you want to recreate the F1 but with improved splitting resistance that would become a lot of work. You would first have to “stabilize” it. (or get the stable parents of the F1 hybrid) and than cross the splitting resistance trait into the parent(s) without affecting to many other traits. I think that would be a hobby project of roughly 6-10+ generations of seeds.
some interesting reading if you want to stabilize an F1 or improve it
basics.
http://kdcomm.net/~tomato/gene/genes.html
what continual self fertilizations does to the genotypes.
http://kdcomm.net/~tomato/gene/genes2.html
how to “stabilize” a hybrid
http://kdcomm.net/~tomato/gene/genes3.html
some things in the explanation are oversimplified. But it gets you there most of the way.
Stabilizing an F1 hybrid
F1 (hybrid)'s are mostly heterozygous. And thus the dominant gene’s tend to give the F1 plant it’s properties.
So you want to have a reasonably large F2 to select your best plant(s) from to self for F3. Each subsequent population can be a little smaller.
The wanted population size will also depend on the amount of traits you want to keep from the F1.
Each time you self-pollinate the tomato you have a 1/4 chance for a homozygous recessive gene (or trait). Likely in the case of the F1 hybrid. This homozygous recessive trait will differ from the F1 (because the F1 traits are mostly dominant) and thus should NOT be used to self and continue to the next generation. Thus you will on average loose 1/4 th of traits from the F1. (lost trait)
Each time you self-pollinate the tomato you have a 2/4th chance for a gene (trait) to stay the same as the F1 has it, heterozygous. (no improvement on that trait)
Each time you self-pollinate the tomato you have a 1/4th chance for a gene (trait) to become homozygous dominant and thus stabilized the trait
these chances are for the average plant. By sowing multiple seeds each generation and picking the plants that most closely resemble the F1. You can loose only a few traits (or none) while **stabilizing more than 1/4th each generation.
There are stil some other effects (like linked gene’s etc) but this will get you mostly there.
I