On Burnside'sp

                a
              
q

                b
              -theorem

V. I. Zenkov

doi:10.1007/bf02104852

journal article May 01, 1996

On Burnside'sp a q b -theorem

V. I. Zenkov

Siberian Mathematical Journal Vol. 37 No. 3 pp. 500-507 · Springer Science and Business Media LLC

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References

9

[1]

W. Burnside, “On groups of orderp α q β (Second paper),” Proc. London Math. Soc.,5, No. 2, 432–437 (1905). 10.1112/plms/s2-2.1.432

[2]

V. S. Monakhov, “Invariant subgroups of biprimary groups,” Mat. Zametki,18, No. 6, 877–886 (1975).

[3]

D. Gorenstein, Finite Simple Groups. An Introduction to Their Classification [Russian translation], Mir, Moscow (1985).

[4]

D. Gorenstein, Finite Groups, Harper and Row, New York-London (1968).

[5]

Eds. A. N. Kolmogorov and S. P. Novikov, To the Theory of Finite Groups [A Collection of Russian Translations], Mir, Moscow (1979).

[6]

M. I. Kargapolov and Yu. I. Merzlyakov, Fundamentals of the Theory of Groups [in Russian], Nauka, Moscow (1972).

[7]

V. I. Zenkov, “The structure of intersections of nilpotent Β-subgroups in finite Β-solvable groups,” Sibirsk. Mat. Zh.,34, No. 4, 103–107 (1993).

[8]

D. Gorenstein and R. Lyons, The Local Structure of Finite Groups of Characteristic 2 Type, Amer. Math. Soc, Providence, Rhode Island (1983). (Mem. Amer. Math. Soc.;276.)

[9]

D. A. Suprunenko, Matrix Groups [in Russian], Nauka, Moscow (1972).

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Published: May 01, 1996
Vol/Issue: 37(3)
Pages: 500-507
License: View

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V. I. Zenkov

Cite This Article

V. I. Zenkov (1996). On Burnside'sp a q b -theorem. Siberian Mathematical Journal, 37(3), 500-507. https://doi.org/10.1007/bf02104852

On Burnside'sp a q b -theorem

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