P. Harpe

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20032011

most citedSpaces of closed subgroups of locally compact groups

29 citations · 38 across the 9 of their papers we have counts for

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Showing 2011 · math.GRShow all

2 papers · 2 filters

math.GR2011

Malnormal subgroups and Frobenius groups: basics and examples

Pierre de la Harpe, Claude Weber, Appendix by Denis Osin

Malnormal subgroups occur in various contexts. We review a large number of examples, and we compare the situation in this generality to that of finite Frobenius groups of permutati…

math.GR2011★ 4 cited

On malnormal peripheral subgroups in fundamental groups of 3-manifolds

Pierre de la Harpe, Claude Weber

Let $K$ be a non-trivial knot in the 3-sphere, $E_{K}$ its exterior, $G_{K} = π_{1} (E_{K})$ its group, and $P_{K} = π_{1} (\partial E_{K}) \subset G_{K}$ its peripheral subgroup. We show that $P_{K}$ …