Olga V. Kravtsova, Sergei V. Panov, Irina V. Shevelyova, “Some results on isomorphisms of finite semifield planes”, J. Sib. Fed. Univ. Math. Phys., 6:1 (2013), 33

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Journal of Siberian Federal University. Mathematics & Physics, 2013, Volume 6, Issue 1, Pages 33–39 (Mi jsfu287)

This article is cited in 3 scientific papers (total in 3 papers)

Some results on isomorphisms of finite semifield planes

Olga V. Kravtsova^a, Sergei V. Panov^b, Irina V. Shevelyova^a

^a Institute of Core Undergraduate Programmes, Siberian Federal University, Krasnoyarsk, Russia
^b Institute of Mathematics and Computer Science, Siberian Federal University, Krasnoyarsk, Russia

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Abstract: The authors extend an approach to construct and classify the semifield projective planes using the linear space and spread set. Follows results are given: an estimate of the order of autotopism group and a number of isomorphic semifield planes defined by fixed linear space.

Keywords: semifield plane, linear space, spread set, isomorphism, autotopism group.

Received: 01.10.2012
Received in revised form: 08.11.2012
Accepted: 06.12.2012

Document Type: Article

UDC: 512.145

Language: English

Citation: Olga V. Kravtsova, Sergei V. Panov, Irina V. Shevelyova, “Some results on isomorphisms of finite semifield planes”, J. Sib. Fed. Univ. Math. Phys., 6:1 (2013), 33–39

Citation in format AMSBIB

\Bibitem{KraPanShe13}

\by Olga~V.~Kravtsova, Sergei~V.~Panov, Irina~V.~Shevelyova

\paper Some results on isomorphisms of finite semifield planes

\jour J. Sib. Fed. Univ. Math. Phys.

\yr 2013

\vol 6

\issue 1

\pages 33--39

\mathnet{http://mi.mathnet.ru/jsfu287}

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https://www.mathnet.ru/eng/jsfu/v6/i1/p33

This publication is cited in the following 3 articles:

O. V. Kravtsova, “Elementary abelian $2$ -subgroups in an autotopism group of a semifield projective plane”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 32 (2020), 49–63
O. V. Kravtsova, “Semifield planes of odd order that admit the autotopism subgroup isomorphic to $A_4$ ”, Russian Math. (Iz. VUZ), 60:9 (2016), 7–22
O. V. Kravtsova, “Polupolevye ploskosti chetnogo poryadka, dopuskayuschie berovskuyu involyutsiyu”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 6:2 (2013), 26–37

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Журнал Сибирского федерального университета. Серия "Математика и физика"

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