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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2011, Volume 8, Pages 219–229
(Mi semr319)
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Automorphism groups of finite local rings of characteristic $p$
E. V. Zhuravlev Altai State University, Barnaul
Abstract:
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, automorphism.
Received August 18, 2011, published August 24, 2011
Citation:
E. V. Zhuravlev, “Automorphism groups of finite local rings of characteristic $p$”, Sib. Èlektron. Mat. Izv., 8 (2011), 219–229
Linking options:
https://www.mathnet.ru/eng/semr319 https://www.mathnet.ru/eng/semr/v8/p219
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