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Results tagged with p-adic-numbers
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user 9672
The p-adic number system for any prime number p extends the ordinary arithmetic of the rational numbers in a different way from the extension of the rational number system to the real and complex number systems
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Is a matrix similar to its transpose over $\mathbb{Z}_p$?
No for $n\geq 3$.
If $A\in M_n(\mathbf Z_p)$ were similar to $A^T\in M_n(\mathbf Z_p)$, then going modulo $p^2$, its image in $M_n(\mathbf Z/p^2\mathbf Z)$ would be similar to the image of its transp …
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