How to check if two maximal orders in a quaternion algebra are isomorphic

asked 2022-03-24 07:29:09 +0100

anonymous user

Anonymous

updated 2022-03-24 07:29:18 +0100

Two maximal orders in a quaternion algebra are isomorphic to each other if and only if they are conjugate.

There is an explicit command for this on Magma: IsConjugate

How would you do this on Sage?

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Comments

Maybe check for all conjugates of generators of one are in the other, and conversely ?

FrédéricC gravatar imageFrédéricC ( 2022-03-24 15:31:43 +0100 )edit