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// Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
// Archive
Sib. Èlektron. Mat. Izv.,
2011
Volume 8,
Pages
219–229
(Mi semr319)
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.
UDC:
512.55
MSC:
16P10
,
16W20
Received
August 18, 2011
, published
August 24, 2011
Fulltext:
PDF file (808 kB)
References
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Steklov Math. Inst. of RAS
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