Does the Frobenius endomorphism always generate a direct summand in the endomorphism monoids of fields of prime characteristic?

DOI10.1017/S0004972700002070zbMath0541.12012OpenAlexW2049064184MaRDI QIDQ3328643

Peter Pröhle

Publication date: 1984

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700002070

zbMATH Keywords

Frobenius endomorphismendomorphism monoidfield of characteristic pright cancellative monoid

Mathematics Subject Classification ID

Representations of groups as automorphism groups of algebraic systems (20F29) Automorphisms and endomorphisms of algebraic structures (08A35) General field theory (12E99)

Related Items (5)

Automorphism groups of fields ⋮ A COMPUTABLE FUNCTOR FROM GRAPHS TO FIELDS ⋮ Automorphism groups of feelds.II ⋮ Absolute graphs with prescribed endomorphism monoid ⋮ All Infinite Groups are Galois Groups Over any Field

Cites Work

• Groups represented by homeomorphism groups. I
• Automorphism group of integral domains fixing a given subring
• The Construction of Fields with Infinite Cyclic Automorphism Group
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