Logarithmic girth expander graphs of \(SL_n({\mathbb{F}}_p)\)
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Publication:2082521
DOI10.1007/s10801-022-01128-zOpenAlexW4281253763MaRDI QIDQ2082521
Arindam Biswas, Goulnara N. Arzhantseva
Publication date: 4 October 2022
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.09229
Linear algebraic groups over finite fields (20G40) Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Residual properties and generalizations; residually finite groups (20E26)
Related Items (2)
Expander spanning subgraphs with large girth ⋮ 2-generation of simple Lie algebras and free dense subgroups of algebraic groups
Cites Work
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- Coarse non-amenability and coarse embeddings
- Low-distortion embeddings of graphs with large girth
- Expansion in \(\text{SL}_d(\mathbb Z/q\mathbb Z)\), \(q\) arbitrary.
- Product decompositions of quasirandom groups and a Jordan type theorem.
- Approximate subgroups of linear groups.
- The coarse geometric Novikov conjecture and uniform convexity
- A reinforcement of property (T)
- The spectral geometry of a tower of coverings
- On subgroups of \(GL_ n(F_ p)\)
- Ramanujan graphs
- Explicit constructions of graphs without short cycles and low density codes
- Generation of \(SL(n,\mathbb{Z})\) by a Jordan unipotent matrix and its transpose
- Constructions for cubic graphs with large girth
- Random walk in random groups.
- Combinatorial group theory.
- Counterexamples to the Baum-Connes conjecture
- Expansion in perfect groups.
- Nonlinear spectral calculus and super-expanders
- The congruence topology, Grothendieck duality and thin groups
- Growth and generation in \(\text{SL}_2(\mathbb{Z}/p\mathbb{Z})\).
- Uniform expansion bounds for Cayley graphs of \(\text{SL}_2(\mathbb F_p)\).
- Lifting subgroups of symplectic groups over \(\mathbb Z/ \ell \mathbb Z\)
- Notes on Thin Matrix Groups
- A continuum of expanders
- Approximate subgroups and super-strong approximation
- Poincaré inequalities, embeddings, and wild groups
- Congruence Properties of Zariski-Dense Subgroups I
- Growth in finite simple groups of Lie type
- Quasirandom Groups
- PROPRIÉTÉ (T) RENFORCÉE BANACHIQUE ET TRANSFORMATION DE FOURIER RAPIDE
- Admitting a Coarse Embedding is Not Preserved Under Group Extensions
- WHAT IS...a Thin Group?
- Warped cones and spectral gaps
- Regular Graphs with Given Girth and Restricted Circuits
- Expanders with respect to Hadamard spaces and random graphs
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