Geodesic
Products of Elations and Harmonic Homologies
Canadian mathematical bulletin, Tome 28 (1985) no. 4, pp. 397-400

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DOI

The projective special linear group PSL(V) is generated by dations. Among all factorizations of p ∈ PSL(V) into dations there will be one (or more) with the least number of factors. We determine this number, i.e. we solve the length problem for the projective special linear group. We solve a similar problem for the projective unimodular group which is generated by harmonic homologies. The projective special linear group and the projective unimodular group are the most important special cases of projective hyperreflection groups. We also solve the length problem for the general case.
DOI : 10.4153/CMB-1985-047-x
Mots-clés : 51N30, 20H20 
Ellers, Erich W. Products of Elations and Harmonic Homologies. Canadian mathematical bulletin, Tome 28 (1985) no. 4, pp. 397-400. doi: 10.4153/CMB-1985-047-x
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     author = {Ellers, Erich W.},
     title = {Products of {Elations} and {Harmonic} {Homologies}},
     journal = {Canadian mathematical bulletin},
     pages = {397--400},
     year = {1985},
     volume = {28},
     number = {4},
     doi = {10.4153/CMB-1985-047-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-047-x/}
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