QUASI-RANDOM PROFINITE GROUPS

DOI10.1017/S0017089514000251zbMath1328.20087arXiv1202.4194OpenAlexW2963922510MaRDI QIDQ2940236

Keivan Mallahi Karai, Mohammad Bardestani

Publication date: 26 January 2015

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

Full work available at URL: https://arxiv.org/abs/1202.4194

zbMATH Keywords

profinite groupsfaithful representationsquasi-randomnessproduct-free subsets

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Other combinatorial number theory (11B75) Representations of finite groups of Lie type (20C33) Groups acting on trees (20E08) Limits, profinite groups (20E18) Probabilistic methods in group theory (20P05)

Cites Work

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• Product decompositions of quasirandom groups and a Jordan type theorem.
• Words and mixing times in finite simple groups.
• Mixing and generation in simple groups.
• Expansion and random walks in \(\text{SL}_d(\mathbb{Z}/p^n\mathbb{Z})\). I.
• Word maps, conjugacy classes, and a noncommutative Waring-type theorem.
• Sidon sets in groups and induced subgraphs of Cayley graphs
• On the minimal degrees of projective representations of the finite Chevalley groups
• Sum-free sets in abelian groups
• Growth in \(\mathrm{SL}_3(\mathbb Z/p\mathbb Z)\).
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• On certain classical groups over Hasse domains
• Product-Free Subsets of Groups
• Quasirandom Groups

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