On nth roots and infinitely divisible elements in a connected Lie group

DOI10.1017/S0305004100058175zbMath0454.22009WikidataQ115336104 ScholiaQ115336104MaRDI QIDQ3901713

M. McCrudden

Publication date: 1981

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

rootsorbitsexponential mapcentralizerinfinitely divisible elements

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46)

Related Items (13)

A version of Lie theorem for divisible solvable groups ⋮ Convolution roots and embeddings of probability measures on Lie groups ⋮ On the surjectivity of the power maps of a class of solvable groups ⋮ On the density of images of the power maps in Lie groups ⋮ Lie's theorem for solvable connected Lie groups without the continuity assumption ⋮ Surjectivity of power maps of real algebraic groups ⋮ Automorphism invariant Cartan subgroups and power maps of disconnected groups. ⋮ Dense images of the power maps for a disconnected real algebraic group ⋮ Lie groups ⋮ Roots of elements in Lie groups and the exponential maps ⋮ On the power maps, orders and exponentiality of p-adic algebraic groups ⋮ Geometry of word equations in simple algebraic groups over special fields ⋮ On surjectivity of the power maps of solvable Lie groups

Cites Work

• On the fundamental group of a homogeneous space
• Arithmetic subgroups of algebraic groups
• Conjugacy classes in algebraic groups. Notes by Vinay V. Deodhar
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