The Algebra of Dimension-Linking Operators
Canadian mathematical bulletin, Tome 8 (1965) no. 2, pp. 203-222
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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
@article{10_4153_CMB_1965_016_4,
author = {Bruck, R. H.},
title = {The {Algebra} of {Dimension-Linking} {Operators}},
journal = {Canadian mathematical bulletin},
pages = {203--222},
year = {1965},
volume = {8},
number = {2},
doi = {10.4153/CMB-1965-016-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1965-016-4/}
}
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