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Group Theory pp 73–84Cite as

Determination of groups of prime-power order

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References

  • G. Bagnera (1898), "La composizione dei Gruppi finiti il cui grado è la quinta potenza di un numero primo", Ann. Mat. Pura Appl. (3) 1, 137–338. FM29,112.

    Article  Google Scholar 

  • G. Bagnera (1899), "Sopra i gruppi astratti di grado 32", Ann. Mat. Pura Appl. (3) 2, 263–275. FM30,133.

    Article  Google Scholar 

  • H.A. Bender (1927), "A determination of the groups of order p 5", Ann. of Math. (2) 29, 61–72. FM53,105.

    Article  MathSciNet  MATH  Google Scholar 

  • A. Cayley (1854), "On the theory of groups, as depending on the symbolic equation ϑn=1", Philos. Mag. 7, 40–47. See also: The Collected Mathematical Papers of Arthur Cayley, Vol. II, #125, 123–130 (Cambridge University Press, Cambridge, 1889).

    Google Scholar 

  • A. Cayley (1878), "Desiderata and suggestions. No. 1. The theory of groups", Amer. J. Math. 1, 50–52. See also: The Collected Mathematical Papers of Arthur Cayley, Vol. X, #694, 401–403 (Cambridge University Press, Cambridge, 1896).

    Article  MathSciNet  MATH  Google Scholar 

  • Wolfgang Gaschütz (1956), "Zu einem von B.H. und H. Neumann gestellten Problem", Math. Nachr. 14, 249–252 (1955). MR18,790.

    Article  MathSciNet  MATH  Google Scholar 

  • Marshall Hall, Jr. and James K. Senior (1964), The Groups of Order 2n (n≤6) (Macmillan, New York; Collier-Macmillan, London). MR29#5889.

    Google Scholar 

  • P. Hall (1940), "The classification of prime-power groups", J. reine angew. Math. 182, 130–141. MR2,211.

    MathSciNet  MATH  Google Scholar 

  • Graham Higman (1960), "Enumerating p-groups. I. Inequalities", Proc. London Math. Soc. (3) 10, 24–30. MR22#4779.

    Article  MathSciNet  MATH  Google Scholar 

  • Otto Hölder (1893), "Die Gruppen der Ordnungen p 3, pq 2, pqr, p 4", Math. Ann. 43, 301–412. FM25,201.

    Article  MathSciNet  MATH  Google Scholar 

  • Rodney K. James (1969), "The groups of order p6 (p≧3)", PhD thesis, University of Sydney, Sydney.

    Google Scholar 

  • Rodney James and John Cannon (1969), "Computation of isomorphism classes of p-groups", Math. Comp. 23, 135–140. MR39#313.

    MathSciNet  MATH  Google Scholar 

  • I.D. Macdonald (1974), "A computer application to finite p-groups", J. Austral. Math. Soc. 17, 102–112. Zb1M277#20024.

    Article  MathSciNet  MATH  Google Scholar 

  • D.H. McLain (1959), "Finiteness conditions in locally soluble groups", J. London Math. Soc. 34, 101–107. MR21#2003.

    Article  MathSciNet  MATH  Google Scholar 

  • Wilhelm Magnus (1937), "Neuere Ergebnisse über auflösbare Gruppen", Jber. Deutsche. Math.-Verein. 47, 69–78. Zb1M16,202.

    MATH  Google Scholar 

  • G.A. Miller (1899), "Report on recent progress in the theory of the groups of a finite order", Bull. Amer. Math. Soc. 5, 227–249 [p. 246]. See also: The Collected Works of George Abram Miller, Volume I, #48, 326–344 [p. 342] (University of Illinois Urbana, Illinois, 1935).

    Article  MATH  Google Scholar 

  • E. Netto (1882), Substitutionentheorie und ihre Anwendungen auf die Algebra (Teubner, Leipzig). FM14,90.

    MATH  Google Scholar 

  • J. Neubüser (1970), "Investigations of groups on computers", Computational Problems in Abstract Algebra (Proc. Conf. Oxford, 1967, 1–19. Pergamon Press, Oxford, London, Edinburgh, New York, Toronto, Sydney, Paris, Braunschweig). MR41#5480.

    Chapter  Google Scholar 

  • B.H. Neumann (1956), "On a question of Gaschütz", Arch. Math. 7, 87–90. MR18,11.

    Article  MathSciNet  MATH  Google Scholar 

  • Otto Schreier (1926), "Über die Erweiterung von Gruppen. II", Abh. Math. Sem. Univ. Hamburg 4, 321–346. FM52,113.

    Article  MathSciNet  MATH  Google Scholar 

  • J.-A. Séguier (1904), Théorie des groupes finis. Éléments de la théorie des groupes abstraits (Gauthier-Villars, Paris).

    MATH  Google Scholar 

  • J.W. Wamsley (1974), "Computation in nilpotent groups (theory)", Proc. Second Internat. Conf. Theory of Groups, Canberra 1973, 691–700 (Lecture Notes in Mathematics, 372. Springer-Verlag, Berlin, Heidelberg, New York). MR50#7350.

    Google Scholar 

  • J.W.A. Young (1893), "On the determination of groups whose order is a power of a prime", Amer. J. Math. 15, 124–178. FM25,201.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Institute of Advanced Studies, Australian National University, Canberra, ACT, Australia

    M. F. Newman

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  1. M. F. Newman
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R. A. Bryce J. Cossey M. F. Newman

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© 1977 Springer-Verlag

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Newman, M.F. (1977). Determination of groups of prime-power order. In: Bryce, R.A., Cossey, J., Newman, M.F. (eds) Group Theory. Lecture Notes in Mathematics, vol 573. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087814

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  • DOI: https://doi.org/10.1007/BFb0087814

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08131-9

  • Online ISBN: 978-3-540-37428-2

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