Cube-root-subgroups of SL_2 over imaginary quadratic integers
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F21%3APU141214" target="_blank" >RIV/00216305:26210/21:PU141214 - isvavai.cz</a>
Result on the web
<a href="http://www.math.md/publications/csjm/issues/v29-n2/13338/" target="_blank" >http://www.math.md/publications/csjm/issues/v29-n2/13338/</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Cube-root-subgroups of SL_2 over imaginary quadratic integers
Original language description
All cube roots of the identity in the special linear group of $2times 2$-matrices with entries in the ring of integers in $mathbb Q[sqrt{d}]$ are described. These matrices generate subgroups of the third order; it is shown that such subgroups may contain non-elementary matrices in the sense of P. M. Cohn. All this is viewed with respect to possible applications in lattice cryptography.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Computer Science Journal of Moldova
ISSN
1561-4042
e-ISSN
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Volume of the periodical
29
Issue of the periodical within the volume
2
Country of publishing house
MD - MOLDOVA, REPUBLIC OF
Number of pages
14
Pages from-to
227-240
UT code for WoS article
000715193300004
EID of the result in the Scopus database
2-s2.0-85114892541