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Matematicheskie Zametki, 1975, Volume 17, Issue 2, Pages 277–283 (Mi mzm7542)  
On Burnside's $p^\alpha q^\beta$ theorem

A. V. Korlyukov

M. V. Lomonosov Moscow State University
Full-text PDF (578 kB)
Abstract: We study finite groups whose conjugate element classes have dimensions of the form $p^\alpha q^\beta$. We prove that the factors of the composition series of any such group either are cyclic or are isomorphic to one of the groups PSL(2, 4), PSL(2, 8).
Received: 11.06.1974
English version:
Mathematical Notes, 1975, Volume 17, Issue 2, Pages 161–164
DOI: https://doi.org/10.1007/BF01161873
Bibliographic databases:
UDC: 519.4
Language: Russian
Citation: A. V. Korlyukov, “On Burnside's $p^\alpha q^\beta$ theorem”, Mat. Zametki, 17:2 (1975), 277–283; Math. Notes, 17:2 (1975), 161–164
Citation in format AMSBIB
\Bibitem{Kor75}
\by A.~V.~Korlyukov
\paper On Burnside's $p^\alpha q^\beta$ theorem
\jour Mat. Zametki
\yr 1975
\vol 17
\issue 2
\pages 277--283
\mathnet{http://mi.mathnet.ru/mzm7542}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=393225}
\zmath{https://zbmath.org/?q=an:0352.20016|0322.20011}
\transl
\jour Math. Notes
\yr 1975
\vol 17
\issue 2
\pages 161--164
\crossref{https://doi.org/10.1007/BF01161873}
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