On the density of images of the power maps in Lie groups

DOI10.1007/s00013-017-1130-4zbMath1382.22013arXiv1701.00331OpenAlexW2568909272WikidataQ115390091 ScholiaQ115390091MaRDI QIDQ1692344

Saurav Bhaumik, Arunava Mandal

Publication date: 26 January 2018

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.00331

zbMATH Keywords

regular elementsCartan subgroupsweak exponentialityfull rank subgroupspower maps of Lie groups

Mathematics Subject Classification ID

General properties and structure of real Lie groups (22E15)

Related Items (4)

The structure of Cartan subgroups in Lie groups ⋮ Word maps on perfect algebraic groups ⋮ Dense images of the power maps for a disconnected real algebraic group ⋮ Roots of elements in Lie groups and the exponential maps

Cites Work

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• On the surjectivity of the power maps of algebraic groups in characteristic zero
• Weakly exponential Lie groups
• On the power maps, orders and exponentiality of p-adic algebraic groups
• On nth roots and infinitely divisible elements in a connected Lie group
• Divisible Subsemigroups of Lie Groups
• A generalization of the Jordan decomposition

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