pch's profile - activity

2019-06-08 16:44:49 +0200	asked a question	Towered extension fields through chosen polynomial (Edited, since `<u>` compiles in HTML as an underlyning tag, dan.) `K.<u> = GF(q) KT.<u> = K.extension(2) KTT.<u> = K.extension(6)` In this case `KTT` is a degree 12 extension. My question is: Can I obtain `KTT` by `KTT.<u> = K.extension(x^6 - a)`, where `x^6 -a` is some irreducible polynomial over `KT` ??? Documentation gives nothing about this towering of fields.
2019-06-08 16:44:49 +0200	asked a question	Towered extension fields through given irreducible polynomial K. = GF(q) KT. = K.extension(2) KTT. = K.extension(6) In this case KTT is a degree 12 extension. My question is can I obtain KTT by KTT. = K.extension(x^6 - a), where x^6 -a is some irreducible polynomial over KT ??? Documentation gives nothing about this towering of fields.