Sufficient discreteness conditions for subgroups of \(\mathrm{PSL}(2,\mathbb C)\) generated by an involution and a nonparabolic element

DOI10.1134/S0001434614010301zbMath1317.30066OpenAlexW1964424872MaRDI QIDQ2341983

Aleksandr Viktorovich Maslei

Publication date: 8 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434614010301

zbMATH Keywords

elliptic elementsloxodromic elementsparabolic elementsdiscrete subgroups of \(\mathrm{PSL}(2,\mathbb C)\)Poincaré model of hyperbolic space

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (1)

On parameters and discreteness of Maskit subgroups in \(\mathrm{PSL}(2,\mathbb C)\)

Cites Work

• Unnamed Item
• Commutators, collars and the geometry of Möbius groups
• KLEINIAN GROUPS WITH REAL PARAMETERS
• On the distance between the axes of elliptic elements generating a free product of cyclic groups

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