THE DETERMINATION OF THE GROUP OF AUTOMORHISMS OF A FINITE CHAIN RING OF CHARACTERSTIC p

DOI10.1093/qmath/42.1.387zbMath0819.16017OpenAlexW2070063580MaRDI QIDQ4007751

Yousef Alkhamees

Publication date: 27 September 1992

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/42.1.387

zbMATH Keywords

group of automorphismsfinite chain ring

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Finite rings and finite-dimensional associative algebras (16P10) Automorphisms and endomorphisms (16W20) Representations of groups as automorphism groups of algebraic systems (20F29) Noncommutative local and semilocal rings, perfect rings (16L30) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (11)

On the enumeration and classification of \(\sigma\)-LCD codes over finite commutative chain rings ⋮ On \(\sigma \)-self-orthogonal constacyclic codes over \(\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}\) ⋮ Finite nonassociative algebras obtained from skew polynomials and possible applications to \((f,\sigma,\delta)\)-codes ⋮ Unnamed Item ⋮ Galois LCD codes over rings ⋮ Skew constacyclic codes of lengths \(p^s\) and \(2p^s\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m} \) ⋮ On self-dual skew cyclic codes of length \(p^s\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m} \) ⋮ Finite Rings with Applications ⋮ Skew constacyclic codes over finite fields and finite chain rings ⋮ \(\sigma\)-LCD codes over finite chain rings ⋮ On the groups of units of finite commutative chain rings.

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