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15
156
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Order of $\operatorname{Gal}(K_s/K_\ell)$

Published on
#algebraic-geometry #galois-theory #algebraic-number-theory
384
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Ramified Field Extensions

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#field-theory #algebraic-number-theory #local-field #ramification
175
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Contradictory results when computing the Ideal class group of $\mathbb{Q}(\sqrt{-7})$

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#abstract-algebra #algebraic-number-theory #ideal-class-group
81
Views

The transfer map from $K_2L$ to $K_2F$ for a galois extension $L/F$

Published on
#algebraic-number-theory #algebraic-k-theory
301
Views

Good way to check if an ideal is principal in cubic extensions

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#abstract-algebra #algebraic-number-theory #ideal-class-group
191
Views

How to derive the closed form of this gamma quotient?

Published on
#algebraic-number-theory #special-functions #gamma-function
597
Views

Cyclic Field Extension of Local Field

Published on
#field-theory #algebraic-number-theory #local-field #kummer-theory
279
Views

Show that $\mathscr{O}_{\mathbb{Q}(\sqrt{-7})}$ is a UFD

Published on
#number-theory #ring-theory #algebraic-number-theory #unique-factorization-domains #euclidean-domain
383
Views

About Sturm's bound

Published on
#algebraic-number-theory #modular-forms #elliptic-functions
185
Views

Proof of a Lemma for a local field extension with certain properties

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#abstract-algebra #algebraic-number-theory #extension-field #local-field #ramification
170
Views

A way to find intermediate fields of a Galois extension

Published on
#galois-theory #algebraic-number-theory
36
Views

Show $\Delta(\theta)\mathbb{Z} = \Delta(R/\mathbb{Z}) \implies R = \mathbb{Z}[\theta]$.

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#proof-verification #algebraic-number-theory #discriminant
50
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How the multiplication in Ring-LWE is defined?

Published on
#ring-theory #modules #algebraic-number-theory #cryptography
368
Views

Countability of Algebraic numbers proving the existence of some equality?

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#algebraic-number-theory #prime-factorization
491
Views

Algebraic integers where all conjugates have absolute value at least 1

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#algebraic-number-theory

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