Automorphism groups of finite local rings of characteristic~$p$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 8 (2011), pp. 219-229.

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We describe the group of automorphisms of a local finite rings of characteristic $p$ with Jacobson radical $J$ such that $J^4=(0)$, $J^3\neq (0)$ and $R/J\cong GF(p^r)$, the finite field of $p^r$ elements.
Keywords: local rings, finite rings
Mots-clés : automorphism.
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E. V. Zhuravlev. Automorphism groups of finite local rings of characteristic~$p$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 8 (2011), pp. 219-229. http://geodesic.mathdoc.fr/item/SEMR_2011_8_a18/

[1] R. Raghavendran, “Finite associative rings”, Compositio Math., 21 (1969), 195–229 | MR | Zbl

[2] B.R. McDonald, Finite rings with identity, Marcel Dekker Inc., New York, 1974 | MR

[3] M. Kholl, Teoriya grupp, Izdatelstvo inostrannoi literatury, M., 1962

[4] Y. Al-Khamees, “Finite rings in wich the multiplication of any two zero-deviders is zero”, Arch. Math., 37 (1981), 144–149 | DOI | MR

[5] C.J. Chikunji, “Automorphism of completely primary finite rings of characteristic $p$”, Colloquium mathematicum., 111 (2008), 91–102 | DOI | MR

[6] C.J. Chikunji, “Automorphism groups of finite rings of characteristic $p^2$ and $p^3$”, Glasnik matematicki., 43 (2008), 25–40 | DOI | MR | Zbl

[7] E.V. Zhuravlev, “Lokalnye koltsa poryadka $p^6$ c 4-nilpotentnym radikalom Dzhekobsona”, Sibirskie elektronnye matematicheskie izvestiya, 3 (2006), 15–59 | MR | Zbl