Groups of square-free order, an algorithm
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- by J. Alonso PDF
- Math. Comp. 30 (1976), 632-637 Request permission
Abstract:
An abstract definition of the groups of square-free order is given that leads naturally to a programmable computation of their number. O. Hölder’s alternative description of the groups of square-free order is incidentally derived.References
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O. HÖLDER, "Die Gruppen der Ordnung ${p^3},p{q^2},pqr,{p^4}$," Math. Ann., v. 43, 1893, pp. 300-412.
O. HÖLDER, "Die gruppen mit quadratfreier Ordnungzahl", Nachrichten von der Königlichen Gesellschaft der Wissenschaften zu Göttingen, Math.-Phys. Kl., v. 1895, pp. 211-229.
- W. R. Scott, Group theory, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964. MR 0167513
- Saunders Mac Lane and Garrett Birkhoff, Algebra, The Macmillan Company, New York; Collier Macmillan Ltd., London, 1967. MR 0214415
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Math. Comp. 30 (1976), 632-637
- MSC: Primary 20D99; Secondary 20-04
- DOI: https://doi.org/10.1090/S0025-5718-1976-0506898-5
- MathSciNet review: 0506898