I. N. Ponomarenko, A. Rahnamai Barghi, “On the structure of $p$-schemes”, Representation theory, dynamical systems, combinatorial methods. Part XV, Zap. Nauchn. Sem. POMI, 344, POMI, St. Petersburg, 2007, 190–202; J. Math. Sci. (N. Y.), 147:6 (2007), 7227

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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 344, Pages 190–202 (Mi znsl106)

This article is cited in 2 scientific papers (total in 2 papers)

On the structure of

$p$ -schemes

I. N. Ponomarenko^a, A. Rahnamai Barghi^b

^a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
^b Institute for Advanced Studies in Basic Sciences

Full-text PDF (213 kB) Citations (2)

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Abstract: We introduce and study an analog of

$p$ -groups in general scheme theory. It is proved that a scheme is a

$p$ -scheme if and only if so is each homogeneous component of it. Moreover, the automorphism group of a

$p$ -scheme is a

$p$ -group, and the

$2$ -orbit scheme of a permutation group

$G$ is a

$p$ -scheme if and only if

$G$ is a

$p$ -group. Both of these statements follow from the fact that the class of

$p$ -schemes is closed with respect to extensions.

Received: 15.03.2007

English version:
Journal of Mathematical Sciences (New York), 2007, Volume 147, Issue 6, Pages 7227–7233
DOI: https://doi.org/10.1007/s10958-007-0539-x

Bibliographic databases:

UDC: 512.547

Language: Russian

Citation: I. N. Ponomarenko, A. Rahnamai Barghi, “On the structure of

$p$ -schemes”, Representation theory, dynamical systems, combinatorial methods. Part XV, Zap. Nauchn. Sem. POMI, 344, POMI, St. Petersburg, 2007, 190–202; J. Math. Sci. (N. Y.), 147:6 (2007), 7227–7233

Citation in format AMSBIB

\Bibitem{PonRah07}

\by I.~N.~Ponomarenko, A.~Rahnamai Barghi

\paper On the structure of $p$-schemes

\inbook Representation theory, dynamical systems, combinatorial methods. Part~XV

\serial Zap. Nauchn. Sem. POMI

\yr 2007

\vol 344

\pages 190--202

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl106}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2432171}

\transl

\jour J. Math. Sci. (N. Y.)

\yr 2007

\vol 147

\issue 6

\pages 7227--7233

\crossref{https://doi.org/10.1007/s10958-007-0539-x}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-36148938678}

Linking options:

https://www.mathnet.ru/eng/znsl106

https://www.mathnet.ru/eng/znsl/v344/p190

This publication is cited in the following 2 articles:

Ryabov G., “The Cayley Isomorphism Property For the Group C-2(5) X C-P”, ARS Math. Contemp., 19:2 (2020), 277–295
Rahnamai Barghi A., Ponomarenko I., “The Basis Digraphs of $p$ -schemes”, Graphs Combin., 25:3 (2009), 265–271

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

Statistics & downloads:
Abstract page:	356
Full-text PDF :	87
References:	58

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