Book contents
- Frontmatter
- Contents
- Foreword
- 1 On the role of totally disconnected groups in the structure of locally compact groups
- 2 Locally compact groups as metric spaces
- 3 A short primer on profinite groups
- 4 Lectures on Lie groups over local fields
- 5 Abstract quotients of profinite groups, after Nikolov and Segal
- 6 Automorphism groups of trees: generalities and prescribed local actions
- 7 Simon Smith's construction of an uncountable family of simple, totally disconnected, locally compact groups
- 8 The Neretin groups
- 9 The scale function and tidy subgroups
- 10 Contraction groups and the scale
- 11 The Bader–Shalom normal subgroup theorem
- 12 Burger–Mozes’ simple lattices
- 13 A lecture on invariant random subgroups
- 14 L2-Betti number of discrete and non-discrete groups
- 15 Minimal normal closed subgroups in compactly generated tdlc groups
- 16 Elementary totally disconnected locally compact groups, after Wesolek
- 17 The structure lattice of a totally disconnected locally compact group
- 18 The centraliser lattice
- 19 On the quasi-isometric classification of locally compact groups
- 20 Future directions in locally compact groups: a tentative problem list
- Index
- References
11 - The Bader–Shalom normal subgroup theorem
Published online by Cambridge University Press: 05 February 2018
Book contents
- Frontmatter
- Contents
- Foreword
- 1 On the role of totally disconnected groups in the structure of locally compact groups
- 2 Locally compact groups as metric spaces
- 3 A short primer on profinite groups
- 4 Lectures on Lie groups over local fields
- 5 Abstract quotients of profinite groups, after Nikolov and Segal
- 6 Automorphism groups of trees: generalities and prescribed local actions
- 7 Simon Smith's construction of an uncountable family of simple, totally disconnected, locally compact groups
- 8 The Neretin groups
- 9 The scale function and tidy subgroups
- 10 Contraction groups and the scale
- 11 The Bader–Shalom normal subgroup theorem
- 12 Burger–Mozes’ simple lattices
- 13 A lecture on invariant random subgroups
- 14 L2-Betti number of discrete and non-discrete groups
- 15 Minimal normal closed subgroups in compactly generated tdlc groups
- 16 Elementary totally disconnected locally compact groups, after Wesolek
- 17 The structure lattice of a totally disconnected locally compact group
- 18 The centraliser lattice
- 19 On the quasi-isometric classification of locally compact groups
- 20 Future directions in locally compact groups: a tentative problem list
- Index
- References
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- New Directions in Locally Compact Groups , pp. 171 - 178Publisher: Cambridge University PressPrint publication year: 2018
References
[1] , Amenable semigroups, Illinois J. Math.
1 (1957), 509–544.
[2] , A Poisson formula for semi-simple Lie groups, Ann. Math.
77 (1963), no. 2, 335–386
[3] , Random walks on groups and random transformations, Handbook of dynamical systems, vol. 1A, pp. 931–1014. Amsterdam: North-Holland, 2002.
[4] and , Factor and normal subgroup theorems for lattices in products of groups, Invent. Math. 163 (2006), no. 2, 415–454.
[5] and , Random walks on discrete groups: boundary and entropy, Ann. Probab. 11 (1983), 457–490.
[6] , Discrete subgroups of semisimple Lie groups, Berlin, Springer, 1991.
[7] , Une remarque sur lhomomorphie des champs fonctionnels, Studia Math.
1 (1929), 83–85.
[8] , Ergodic and mixing random walks on locally compact groups, Math. Ann.
257 (1981), 31–42.
[9] , Rigidity of commensurators and irreducible lattices, Invent. Math.
141 (2000), no. 1, 1–54.
[10] , Ergodic theory and semisimple groups, Monogr. Math. vol. 81, Basel: Birkhäuser, 1984.