Geodesic
Invariants of linear groups generated by matrices with two nonunit eigenvalues
Zapiski Nauchnykh Seminarov POMI, Modules and algebraic groups, Tome 114 (1982), pp. 120-130

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A theorem on the structure of the algebra of invariants of the commutant of a group generated by pseudoreflections is improved. In particular, it is shown that this algebra is a complete intersection. A series of counterexamples to Stanley's conjecture is constructed in dimension 4. Results supporting this conjecture for primitive groups of large dimension are given. 
@article{ZNSL_1982_114_a9,
     author = {N. L. Gordeev},
     title = {Invariants of linear groups generated by matrices with two nonunit eigenvalues},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {120--130},
     publisher = {mathdoc},
     volume = {114},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1982_114_a9/}
}
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N. L. Gordeev. Invariants of linear groups generated by matrices with two nonunit eigenvalues. Zapiski Nauchnykh Seminarov POMI, Modules and algebraic groups, Tome 114 (1982), pp. 120-130. http://geodesic.mathdoc.fr/item/ZNSL_1982_114_a9/