Reidemeister torsion and group invariants of three-dimensional manifolds
Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part II, Tome 66 (1976), pp. 204-206

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Two formulas are presented in this note. The first is purely algebraic and expresses the first elementary ideal of a finitely generated group in terms of the module of elementary derivatives. The second formula expresses the module of elementary derivatives of the fundamental group of a connected compact three-dimensional $pl$-manifold with zero Euler characteristic in terms of the Reidemeister torsion of this manifold.
@article{ZNSL_1976_66_a10,
     author = {V. G. Turaev},
     title = {Reidemeister torsion and group invariants of three-dimensional manifolds},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {204--206},
     publisher = {mathdoc},
     volume = {66},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1976_66_a10/}
}
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V. G. Turaev. Reidemeister torsion and group invariants of three-dimensional manifolds. Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part II, Tome 66 (1976), pp. 204-206. http://geodesic.mathdoc.fr/item/ZNSL_1976_66_a10/