IRREDUCIBLE ABELIAN GROUPS OF AUTOMORPHISMS OF AN ABELIAN GROUP, AND PRIMITIVE SOLVABLE PERMUTATION GROUPS

DOI10.1070/IM1995V044N02ABEH001603zbMath0835.20005OpenAlexW2033948963MaRDI QIDQ4847200

K. K. Shchukin

Publication date: 11 September 1995

Published in: Russian Academy of Sciences. Izvestiya Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1995v044n02abeh001603

zbMATH Keywords

Möbius functionsymmetric groupsAbelian groupsautomorphismsregular representationprimitive subgroupsfull affine groupsprimitive solvable subgroups

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite fields (field-theoretic aspects) (12E20) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Automorphism groups of groups (20F28) Arithmetic functions; related numbers; inversion formulas (11A25) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Primitive groups (20B15)

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