Geodesic
The Algebra of Dimension-Linking Operators
Canadian mathematical bulletin, Tome 8 (1965) no. 2, pp. 203-222

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

In the course of preparing a book on group theory [1] with special reference to the Restricted Burnside Problem and allied problems I stumbled upon the concept of a dimension-linking operator. Later, when I lectured to the Third Summer Institute of the Australian Mathematical Society [2], G. E. Wall raised the question whether the dimension-linking operators could be made into a ring by introduction of a suitable definition of multiplication. The answer was easily found to be affirmative; the result wasthat the theory of dimen sion-linking operators became exceedingly simple. 
Bruck, R. H. The Algebra of Dimension-Linking Operators. Canadian mathematical bulletin, Tome 8 (1965) no. 2, pp. 203-222. doi: 10.4153/CMB-1965-016-4
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[1] 1. Bruck, R. H., What Makes a Group Finite? A book being written under contract with Prentice-Hall. Google Scholar

[2] 2. Bruck, R. H., Engel conditions in groups and related questions. Mimeographed notes based on a series of 11 lectures delivered (during Jan. 8 - Jan. 22, 1963) to the Third Summer Research Institute of the Australian Mathematical Society, meeting Jan. 8 - Feb. 15, 1963 in Canberra A. C. T. Google Scholar

[3] 3. Higman, Graham, On a conjecture of Nagata, Proc. Cambridge Phil. Soc. 52(1956), 1–4. Google Scholar

[4] 4. Heineken, Hermann, Endomorphismenringe und engelsche Elemente, Archiv der Math. 13 (1962), 29–37. Google Scholar

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