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20232025
most citedCharacterisation of distal actions of automorphisms on the space of one-parameter subgroups of Lie groups

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math.GR2025

Twisted conjugacy classes in Lie groups

Ravi Prakash, Riddhi Shah

We consider twisted conjugacy classes of continuous automorphisms of a Lie group . We obtain a necessary and sufficient condition on for its Reidemeister number, the num…

math.GR2025

On the almost algebraicity of groups of automorphisms of connected Lie groups

S. G. Dani, Riddhi Shah

Let be a connected Lie group, be the maximal compact connected subgroup of the center of , and let denote the group of Lie automorphisms of , viewed, c…

math.GR2023

Cartan subgroups in connected locally compact groups

Arunava Mandal, Riddhi Shah

We define Cartan subgroups in connected locally compact groups, which extends the classical notion of Cartan subgroups in Lie groups. We prove their existence and justify our choic…