Rohit Garg, Deepak Gumber
Abstract
Let G be a group and Aut( G ) be its automorphism group. An automorphism α of G is called a commuting automorphism if α(x)x = xα(x) for all x ∈ G . The set of all commuting automorphisms of G is denoted by A(G) . We find some cases when A(G) is a subgroup of Aut( G ).
OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
Let G be a group and Aut( G ) be its automorphism group. An automorphism α of G is called a commuting automorphism if α(x)x = xα(x) for all x ∈ G . The set of all commuting automorphisms of G is denoted by A(G) . We find some cases when A(G) is a subgroup of Aut( G ).
Key concepts: Automorphism, Mathematics, Automorphism group, Inner automorphism, Outer automorphism group, Group (periodic table), Combinatorics, Automorphisms of the symmetric and alternating groups