On the degree of repeated radical extensions. Issue 4 (23rd December 2021)
- Record Type:
- Journal Article
- Title:
- On the degree of repeated radical extensions. Issue 4 (23rd December 2021)
- Main Title:
- On the degree of repeated radical extensions
- Authors:
- Szechtman, Fernando
- Abstract:
- Abstract: We answer a question posed by Mordell in 1953, in the case of repeated radical extensions, and find necessary and sufficient conditions for $[F[\sqrt [m_1]{N_1}, \dots, \sqrt [m_\ell ]{N_\ell }]:F]=m_1\cdots m_\ell $, where F is an arbitrary field of characteristic not dividing any $m_i$ .
- Is Part Of:
- Canadian mathematical bulletin =. Volume 64:Issue 4(2021)
- Journal:
- Canadian mathematical bulletin =
- Issue:
- Volume 64:Issue 4(2021)
- Issue Display:
- Volume 64, Issue 4 (2021)
- Year:
- 2021
- Volume:
- 64
- Issue:
- 4
- Issue Sort Value:
- 2021-0064-0004-0000
- Page Start:
- 877
- Page End:
- 885
- Publication Date:
- 2021-12-23
- Subjects:
- 12F05 -- 12F10 -- 12E05
Radical extension -- Galois extension -- Vahlen-Capelli irreducibility criterion
Mathematics -- Periodicals
Mathematics
Periodicals
510.5 - Journal URLs:
- http://www.cms.math.ca/cmb/ ↗
https://www.cambridge.org/core/journals/canadian-mathematical-bulletin ↗ - DOI:
- 10.4153/S0008439520000909 ↗
- Languages:
- English
- ISSNs:
- 0008-4395
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 19980.xml