A Pair of Generators for the Unimodular Group
Canadian mathematical bulletin, Tome 5 (1962) no. 3, pp. 245-252
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It is well known that Mn, the multiplicative group n consisting of n-rowed square matrices with integer entries and determinant equal to ±1 can be generated by: It is also known that U4 can be generated by U1, U2, and U3 (cf.[2] p.85).However, by a construction which is much simpler than the one just mentioned for U4, it is possible to generate U3 by just U2 and U4. Since U2 and U4 affect only the first
Trott, Stanton M. A Pair of Generators for the Unimodular Group. Canadian mathematical bulletin, Tome 5 (1962) no. 3, pp. 245-252. doi: 10.4153/CMB-1962-024-x
@article{10_4153_CMB_1962_024_x,
author = {Trott, Stanton M.},
title = {A {Pair} of {Generators} for the {Unimodular} {Group}},
journal = {Canadian mathematical bulletin},
pages = {245--252},
year = {1962},
volume = {5},
number = {3},
doi = {10.4153/CMB-1962-024-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1962-024-x/}
}
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