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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 2, Pages 17–29 (Mi ivm8867)  
$M_p$-groups not containing groups of quaternions

S. N. Kozulina, V. I. Senashovbc, V. P. Shunkovb

a "VTB24 Lizing" joint stock company, 20 Daev Lane, Moscow, 107045 Russia
b Institute of Computational Modelling, Siberian Branch of Russian Academy of Sciences, 50/44 Akademgorodok, Krasnoyarsk, 660036 Russia
c Chair of Algebra and Mathematical Logic, Siberian Federal University, 79 Svobodnyi Ave., Krasnoyarsk, 660041 Russia
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Abstract: This paper continues the study of class of $M_p$-groups introduced by V. P. Shunkov. We obtain a criterion of non-simplicity of an infinite group, which contains the $M_p$-group and contains no group of quaternions. We also obtain a criterion that an infinite group is the $M_p $-group.
Keywords: group, finiteness condition, Frobenius group.
Received: 26.01.2012
Revised: 21.01.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 2, Pages 13–23
DOI: https://doi.org/10.3103/S1066369X14020030
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
Citation: S. N. Kozulin, V. I. Senashov, V. P. Shunkov, “$M_p$-groups not containing groups of quaternions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 2, 17–29; Russian Math. (Iz. VUZ), 58:2 (2014), 13–23
Citation in format AMSBIB
\Bibitem{KozSenShu14}
\by S.~N.~Kozulin, V.~I.~Senashov, V.~P.~Shunkov
\paper $M_p$-groups not containing groups of quaternions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 2
\pages 17--29
\mathnet{http://mi.mathnet.ru/ivm8867}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 2
\pages 13--23
\crossref{https://doi.org/10.3103/S1066369X14020030}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84897747566}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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