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is multiplicative group of Q5 right?

asked 2013-12-14 20:17:36 -0500

cjsh gravatar image

K = Qp(5, print_mode='digits')

C1=CartesianProduct(ZZ,Integers(4));C1

Cartesian product of Integer Ring, Ring of integers modulo 4

C2=CartesianProduct(C1,Z5);C2

Cartesian product of Cartesian product of Integer Ring, Ring of integers modulo 4, 5-adic Ring with capped relative precision 20

C2.is_ring();

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answered 2013-12-14 23:51:22 -0500

John Cremona gravatar image

There is something missing in your code since Z5 is never defined. I assume that you meant to insert

sage: Z5 = K.integer_ring()

Secondly, if you want help then please ask a clear question! All that I see is a block of incorrect Sage code! But I can guess what you might be wanting to ask, given the title of your posting, which is perhaps to verify that the group of units of Z5 is isomorphic to Z x C4 x Z5. Is that correct?

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thank you very much! yes,I want what look like multiplicative group and additive group of Q5

cjsh gravatar imagecjsh ( 2013-12-16 22:33:16 -0500 )edit

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Asked: 2013-12-14 20:17:36 -0500

Seen: 69 times

Last updated: Dec 16 '13