User:Lériendil/Third-superparticulars and semiparticulars by prime subgroup: Difference between revisions
Created page with "Some shorthand notation used here: * S''k'' stands for ''k''^2/[(''k''-1)(''k''+1)] by standard convention (the ''k''th square superparticular). * G''k'' stands for S(''k''-1)..." |
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* G''k'' stands for S(''k''-1)*S''k''*S(''k''+1) (the ''k''th third-particular). | * G''k'' stands for S(''k''-1)*S''k''*S(''k''+1) (the ''k''th third-particular). | ||
* R''k'' stands for S(''k''-1)/S(''k''+1) (the ''k''th semiparticular). | * R''k'' stands for S(''k''-1)/S(''k''+1) (the ''k''th semiparticular). | ||
* T''k'' = S''k'' * S(''k''+1) stands for [''k''(''k''+1)/2]/[(''k''-1)(''k''+2)/2] (the ''k''th triangle superparticular). | |||
* L''p'' refers to the ''p''-limit, i.e. the subgroup of primes less than or equal to ''p''. | * L''p'' refers to the ''p''-limit, i.e. the subgroup of primes less than or equal to ''p''. | ||
* L''p''(-''q'') refers to the ''p'' limit with the prime ''q'' omitted: e.g. L17(-11) refers to the 2.3.5.7.13.17 subgroup; these omissions can be stacked so that L23(-5.17) refers to the group 2.3.7.11.13.19.23. | * L''p''(-''q'') refers to the ''p'' limit with the prime ''q'' omitted: e.g. L17(-11) refers to the 2.3.5.7.13.17 subgroup; these omissions can be stacked so that L23(-5.17) refers to the group 2.3.7.11.13.19.23. | ||