Geodesic
Defining relations of a~free modular lattice of rank~$3$
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2013), pp. 69-72

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For a $3$-generated free modular lattice we obtain a system of $11$ defining relations and prove this set to be minimal.
Keywords: free modular lattices, defining relations. 
@article{IVM_2013_10_a6,
     author = {A. G. Gein and M. P. Shushpanov},
     title = {Defining relations of a~free modular lattice of rank~$3$},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {69--72},
     publisher = {mathdoc},
     number = {10},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_10_a6/}
}
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A. G. Gein; M. P. Shushpanov. Defining relations of a~free modular lattice of rank~$3$. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2013), pp. 69-72. http://geodesic.mathdoc.fr/item/IVM_2013_10_a6/