Geodesic
On unit group of a finite local rings with 4-nilpotent radical of Jacobson
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 552-567

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We describe the structure of the unit group of a commutative finite local rings $R$ of characteristic $p$ with Jacobson radical $J$ such that ${\dim_F J/J^2=2}$, ${\dim_F J^2/J^3=2}$, ${\dim_F J^3=1}$, $J^4=(0)$ and $F=R/J\cong GF(p^r)$, the finite field of $p^r$ elements.
Keywords: local rings, finite rings, unit group of a ring. 
@article{SEMR_2017_14_a15,
     author = {E. V. Zhuravlev},
     title = {On unit group of a finite local rings with 4-nilpotent radical of {Jacobson}},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {552--567},
     publisher = {mathdoc},
     volume = {14},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2017_14_a15/}
}
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E. V. Zhuravlev. On unit group of a finite local rings with 4-nilpotent radical of Jacobson. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 552-567. http://geodesic.mathdoc.fr/item/SEMR_2017_14_a15/