Classification of Finite Group Automorphisms with a Large Cycle
From MaRDI portal
Publication:2826096
DOI10.1080/00927872.2015.1113294zbMath1355.20018arXiv1410.2284OpenAlexW2593626649MaRDI QIDQ2826096
Publication date: 7 October 2016
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.2284
Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Linear algebraic groups over finite fields (20G40) Finite abelian groups (20K01) Automorphisms of abstract finite groups (20D45) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)
Related Items (6)
Finite groups with an automorphism of large order ⋮ Finite groups with an affine map of large order ⋮ Finite groups with a large automorphism orbit ⋮ Computation of orders and cycle lengths of automorphisms of finite solvable groups ⋮ Classification of Finite Group Automorphisms with a Large Cycle ⋮ Worst-case approximability of functions on finite groups by endomorphisms and affine maps
Uses Software
Cites Work
- Unnamed Item
- Nonsolvable groups with an automorphism inverting many elements
- Groups with automorphisms squaring most elements
- On a conjecture of Zimmerman about group automorphisms
- Uniform random number generation
- Groups with automorphisms inverting most elements
- Classification of Finite Group Automorphisms with a Large Cycle
- Soluble Groups with an Automorphism Inverting Many Elements
- FINITE GROUPS WITH AN AUTOMORPHISM CUBING A LARGE FRACTION OF ELEMENTS
- ON AUTOMORPHISMS OF FINITE GROUPS
- Groups with an automorphism cubing many elements
- A Contribution to the Theory of Groups of Prime-Power Order
- Groups of Odd Order with Automorphisms Inverting Many Elements
- Groups with an automorphism squaring many elements
- Linear Finite Dynamical Systems
This page was built for publication: Classification of Finite Group Automorphisms with a Large Cycle
