Trudy Instituta Matematiki i Mekhaniki UrO RAN
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 3, Pages 197–212 (Mi timm1213)  
This article is cited in 3 scientific papers (total in 3 papers)

The structure of quasifields of small even orders

V. M. Levchuk, P. K. Shtukkert

Institute of Mathematics and Computer Science, Siberian Federal University, Krasnoyarsk
Full-text PDF (243 kB) Citations (3)
References:
PDF
HTML
Abstract: We study the structure of a finite quasifield: maximal subfields, the orders of nonzero elements of its multiplicative loop, and the conjecture that the multiplicative loop of any finite semifield is one-generated. We consider the structure of all semifields of order 16; the Knuth-Rua semifield of order 32, which disproves Wene's conjecture; and representatives of isotope classes of quasifields of orders 16 and 32.
Keywords: finite quasifield, maximal subfield, order of a nonzero element, conjecture that the multiplicative loop of any finite semifield is one-generated.
Bibliographic databases:
Document Type: Article
UDC: 512.554
Language: Russian
Citation: V. M. Levchuk, P. K. Shtukkert, “The structure of quasifields of small even orders”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 3, 2015, 197–212
Citation in format AMSBIB
\Bibitem{LevSht15}
\by V.~M.~Levchuk, P.~K.~Shtukkert
\paper The structure of quasifields of small even orders
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2015
\vol 21
\issue 3
\pages 197--212
\mathnet{http://mi.mathnet.ru/timm1213}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3468104}
\elib{https://elibrary.ru/item.asp?id=24156721}
Linking options:
  • https://www.mathnet.ru/eng/timm1213
  • https://www.mathnet.ru/eng/timm/v21/i3/p197
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024