On the surjectivity of the power maps of a class of solvable groups

DOI10.1515/jgth-2017-0013zbMath1414.20012arXiv1608.02701OpenAlexW2962740578MaRDI QIDQ1676214

Arunava Mandal, Shrikrishna G. Dani

Publication date: 6 November 2017

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.02701

zbMATH Keywords

algebraic groupsLie groupsnilpotent groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) General structure theorems for groups (20E34) Generalizations of solvable and nilpotent groups (20F19) Nilpotent and solvable Lie groups (22E25)

Related Items (5)

The structure of Cartan subgroups in Lie groups ⋮ On the density of images of the power maps 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

• Surjectivity of power maps of real algebraic groups
• On complex exponential groups
• On surjectivity of the power maps of solvable Lie groups
• On the surjectivity of the power maps of algebraic groups in characteristic zero
• On nth roots and infinitely divisible elements in a connected Lie group

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