L. S. Kazarin, “Burnside's $p^\alpha$-lemma”, Mat. Zametki, 48:2 (1990), 45–48; Math. Notes, 48:2 (1990), 749

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Matematicheskie Zametki, 1990, Volume 48, Issue 2, Pages 45–48 (Mi mzm3306)

This article is cited in 15 scientific papers (total in 15 papers)

Burnside's $p^\alpha$-lemma

L. S. Kazarin

Yaroslavl State University

Full-text PDF (402 kB) Citations (15)

Received: 22.02.1988

English version:
Mathematical Notes, 1990, Volume 48, Issue 2, Pages 749–751
DOI: https://doi.org/10.1007/BF01262606

Bibliographic databases:

Language: Russian

Citation: L. S. Kazarin, “Burnside's $p^\alpha$-lemma”, Mat. Zametki, 48:2 (1990), 45–48; Math. Notes, 48:2 (1990), 749–751

Citation in format AMSBIB

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\by L.~S.~Kazarin

\paper Burnside's $p^\alpha$-lemma

\jour Mat. Zametki

\yr 1990

\vol 48

\issue 2

\pages 45--48

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\zmath{https://zbmath.org/?q=an:0746.20011}

\transl

\jour Math. Notes

\yr 1990

\vol 48

\issue 2

\pages 749--751

\crossref{https://doi.org/10.1007/BF01262606}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1990FJ67800026}

Linking options:

https://www.mathnet.ru/eng/mzm3306

https://www.mathnet.ru/eng/mzm/v48/i2/p45

This publication is cited in the following 15 articles:

Sajjad Mahmood Robati, Roghayeh Hafezieh, “Groups whose vanishing class sizes are p-powers”, Communications in Algebra, 51:7 (2023), 2978
Xianhe Zhao, Yanyan Zhou, Ruifang Chen, Qin Huang, “On the p -regular G-conjugacy classes with sizes 1 or minimal”, Quaestiones Mathematicae, 45:1 (2022), 101
Sajjad Mahmood Robati, Roghayeh Hafezieh Balaman, “Groups whose vanishing class sizes are prime powers”, Journal of Group Theory, 25:1 (2022), 151
Xianhe Zhao, Yanyan Zhou, Ruifang Chen, Hongliang Zuo, Qin Huang, “On the Normal Subgroup with Minimal G-Conjugacy Class Sizes”, Mediterr. J. Math., 18:6 (2021)
Kazarin L., “Factorizations of Finite Groups and Related Topics”, Algebr. Colloq., 27:1, SI (2020), 149–180
Mariagrazia Bianchi, Stephen P. Glasby, Cheryl E. Praeger, “Conjugacy class sizes in arithmetic progression”, Journal of Group Theory, 23:6 (2020), 1039
Zeinab Foruzanfar, İsmai̇l Ş. Güloğlu, Mehdi Rezaei, “Classification of finite groups according to their conjugacy class lengths”, Journal of Group Theory, 22:1 (2019), 137
V. N. Knyagina, “O proizvedenii $B$-gruppy i primarnoi gruppy”, PFMT, 2017, no. 3(32), 52–57
Qingjun Kong, “A note on elements of prime power index in finite groups”, Monatsh Math, 179:4 (2016), 577
Qingjun Kong, “Finite groups with elements of prime power index”, J. Algebra Appl., 14:06 (2015), 1550095
L. S. Kazarin, “On Ditsman's lemma”, Proc. Steklov Inst. Math. (Suppl.), 285, suppl. 1 (2014), S91–S98
Cristina Acciarri, Pavel Shumyatsky, “Double automorphisms of graded Lie algebras”, Journal of Algebra, 387 (2013), 1
B. Amberg, L. S. Kazarin, “$ABA$-groups with cyclic subgroup $B$”, Tr. IMM UrO RAN, 18, no. 3, 2012, 10–22
Alan R. Camina, Pavel Shumyatsky, Carmela Sica, “On elements of prime-power index in finite groups”, Journal of Algebra, 323:2 (2010), 522
L. S. Kazarin, “Konechnye gruppy s faktorizatsiei”, Tr. In-ta matem., 16:1 (2008), 40–46

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

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