Department of Mathematics, University of Qom, Qom, Iran
10.22091/maa.2026.15803.1057
Abstract
Let G be a compact Hausdorff topological group with automorphism group Aut(G), which itself is a compact Hausdorff topological group. Suppose that H is a closed subgroup of G. In this paper, using Haar measure, we define the concept of relative autocommutativity degree Pr_A(H) for subgroup H which generalizes this concept for finite groups. We obtain some properties of Pr_A(H) which are analogous to the case of finite groups. In particular, we provide an upper bound for the relative autocommutativity degree of a non-abelian subgroup H and characterize the structural properties of H when this bound is attained.
Moosavi, S. A. (2026). Relative autocommutativity degree for topological groups. Measure Algebras and Applications, (), -. doi: 10.22091/maa.2026.15803.1057
MLA
Seyyed Ali Moosavi. "Relative autocommutativity degree for topological groups". Measure Algebras and Applications, , , 2026, -. doi: 10.22091/maa.2026.15803.1057
HARVARD
Moosavi, S. A. (2026). 'Relative autocommutativity degree for topological groups', Measure Algebras and Applications, (), pp. -. doi: 10.22091/maa.2026.15803.1057
VANCOUVER
Moosavi, S. A. Relative autocommutativity degree for topological groups. Measure Algebras and Applications, 2026; (): -. doi: 10.22091/maa.2026.15803.1057
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