Galois module structure of the units modulo $$p^m$$ of cyclic extensions of degree $$p^n$$-Reference-Cited by-同舟云学术

Galois module structure of the units modulo $$p^m$$ of cyclic extensions of degree $$p^n$$

Published:2022-03-31 Issue:1-2 Volume:171 Page:295-345
ISSN:0025-2611
Container-title:manuscripta mathematica
language:en
Short-container-title:manuscripta math.

Author:

Mináč Ján,Schultz Andrew^ORCID,Swallow John

Funder

Natural Sciences and Engineering Research Council of Canada

National Security Agency

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00229-022-01385-z.pdf

Reference96 articles.

1. Albert, A.: On cyclic fields. Trans. Am. Math. Soc. 37(3), 454–462 (1935)

2. Anderson, G.W.: Torsion points on Fermat Jacobians, roots of circular units and relative singular homology. Duke Math. J. 54(2), 501–561 (1987)

3. Artin, E., Schreier, O.: Algebraische Konstruktion reeller Körper. Abh. Math. Sem. Univ. Hamburg 5(1927), 85–99. Reprinted in Artin’s Collected Papers, edited by S. Lang and J. Tate, 258–272. New York: Springer-Verlag (1965). English transltion in Rosen M (ed.) Exposition by Emil Artin: A Selection, vol. 30 of History of Mathematics, 273–283. Providence, RI: American Mathematical Society (2006)

4. Artin, E., Schreier, O.: Eine Kennzeichnung der reell abgeschlossenen Körper. Abh. Math. Sem. Univ. Hamburg 5(1927), 225–231. Reprinted in Artin’s Collected Papers, edited by S. Lang and J. Tate, 289–295. New York: Springer-Verlag (1965). English transltion in Rosen, M. (ed.) Exposition by Emil Artin: A Selection, vol.30 of History of Mathematics, 285–290. Providence, RI: American Mathematical Society (2006)

5. Bary-Soroker, L., Jarden, M., Neftin, D.: On the Sylow subgroups of the absolute Galois group $${\rm Gal}(\mathbb{Q})$$. Adv. Math. 23, 173–214 (2013)

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Quaternion algebras and square power classes over biquadratic extensions;Israel Journal of Mathematics;2023-11

2. Arithmetic properties encoded in the Galois module structure of K×/K×pm;Journal of Number Theory;2023-01