Geodesic
A Note on Prime-Power Groups
Canadian mathematical bulletin, Tome 3 (1960) no. 1, pp. 27-30

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper an unsuccessful attempt to classify prime - power groups is described. The attempt consisted in combining some ideas of P.Hall and O. N. Golovin.Golovin [2] defined nilpotent products of groups and showed that every nilpotent group is a factor group of a nilpotent product of cyclic groups. 
Struik, Ruth Rebekka. A Note on Prime-Power Groups. Canadian mathematical bulletin, Tome 3 (1960) no. 1, pp. 27-30. doi: 10.4153/CMB-1960-006-5
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[1] 1. Burnside, W., Theory of Groups of Finite Order, 2nd. ed., (New York, 1955). Google Scholar

[2] 2. Golovin, O. N., Nilpotent products of groups, Mat. Sbornik 27(69) (1950), 427-454. Amer. Math. Soc. Translations (2) 2 (1956), 89-115. Google Scholar

[3] 3. Golovin, O. N., The metabelian products of groups, Mat.Sbornik 28(70) (1951), 431-444. Amer. Math. Soc, Translations (2) 2 (1956), 117-132. Google Scholar

[4] 4. Golovin, O. N., On the isomorphism of nilpotent decompositions of groups, Mat.Sbornik 28(70) (1951), 445-452. Amer, Math. Soc. Translations (2) 2 (1956),133-140. Google Scholar

[5] 5. Hall, P., The classification of prime-power groups, J. reine angew. Math. 182 (1940), 130-140. Google Scholar

[6] 6. Magnus, W., ?ber Beziehungen zwischen h?heren Kommutatoren, J. reine angew. Math. 177 (1937), 105-115. Google Scholar

[7] 7. Moran, S., Associative operations on groups II, Proc. London Math. Soc. (3) 8 (1958), 548-568. Google Scholar

[8] 8. Struik, R. R., Notes on a paper by Sanov, Proc. Amer. Math, Soc, 8 (1957), 638-641. Google Scholar

[9] 9. Struik, R. R., On nilpotent products of cyclic groups, to appear in Can. J. Math. Google Scholar

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