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Article collection "Mathematical Problems of Cybernetics" №2, Moscow, 1989
Authors: Marchenkov S.S.
The classification of algebras with alternating automorphism group
Abstract:
We study algebras бE; Fс with a finite support E, containing no less than four elements and having an alternating automorphism group. The algebras бE; Fс, бE; Gс are said to be equivalent if the clones generated by the sets of operations F and G coincide. We prove that up to equivalence for |E|=4 the number of such algebras is exactly 20 and for |E|>4 the number is 8|E| — 11.
Keywords:
classification of finite algebras, alternating automorphism group
Publication language: russian,  pages: 23 (p. 100-122)
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Marchenkov Sergey Seraphimovich,  ,  Факультет вычислительной математики и кибернетики МГУ, кафедра математической кибернетики