You just map the value (1, 1) $C_m\times C_n$ to the value 1 of $C_{mn}$, and it works out. E.g. for $C_2\times C_3$, the group generated by of (1, 1) is:

This term was invented by Ciro Santilli, and similar ideas certainly already exists with different names by other people. As the name suggests, it basically involves combining free education and gifted education, but with other more specific aspects crammed in that would make a precise name too long to read, as descried below.

Government must create selective, K-12 and university-level teaching institutions that are completely free.

As mentioned at pick few good bets and invest enough on bets, these do not need to be given to all students: what we have to do is to ensure that the top N-percent of the best students will get in, and that none of them will pay. Where N is as large as the budget society decides to put into this project, the larger the better. Therefore, perhaps "gifted education" is not the ideal name for this idea, as it generally implies very small N (1%?), while this project hopes for larger N, maybe 10%. But a minimal level of quality must be attained, it is pointless to dissolve the resources too much, if we only have enough for 1%, then so be it, start with 1%.

School must offer free accommodation for students.

These institutions must start from the very first school year, and go all the way up through K-12 to the end of university. It is useless to start at university-level only otherwise only the rich students will have a chance of getting in, like Ciro Santilli saw in Brazil at the Polytechnic School of the University of São Paulo in the late 2000's: one day all students were gathered in the amphitheater, and they asked the students who had only gone through free government K-12 schools to raise their hands. Those were notably worse than the corresponding private schools, and the situation is inverted in university, where the best schools are the government ones. Out of about 500 people, at most 10 raised their hands!

These institutions should not have affirmative action entry quotas, including most importantly at the university level. Both rich and poor should be able to apply. Passing the selection criteria is all that matters. We just must ensure that the schools are widely advertised amongst disadvantaged communities, so that they will at least get their children to try to apply from an early age. This way, even if the rich always have an advantage due to better overall conditions, the poor are so much more numerous that the majority of students accepted will still be poor.

The school should follow the basic principles of how to teach, notably:

These schools must pay mentors as much as the average good non-free schools so you actually get comparably good teachers. Mentor selection would also be highly competitive, just as that of the students.

Once admitted, students will have guaranteed access to the school resources for a few years. This way, they won't need to worry about passing useless exams every three months.

All that matters is that they are progressing in their development plan. Rather than exams, students will do regular progress report sessions with their advisors, and will get periodic reviews from other advisors with similar interests.

Such projects could be funded by much needed wealth tax or other measures to tax the rich, which the people should claim through Referendum, that would be come more common with the adoption of electronic voting. Because the politicians are simply not being able to do it.

Related:

First Amazon hire, wrote and led the team that wrote v1.

He looks like an older and more experienced dude compared to Bezos at the time.

Bibliography:
. www.geekwire.com/2011/meet-shel-kaphan-amazoncom-employee-1/2/ also mentions that unlike California, there's no sales tax in the state of Washington, which is important for selling books.