A note on the conjugacy problem for finite Sylow subgroups of linear pseudofinite groups

DOI10.3906/mat-1604-11zbMath1424.20036OpenAlexW2769321693MaRDI QIDQ4633705

Pinar Uğurlu Kowalski

Publication date: 3 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1604-11

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Subgroup theorems; subgroup growth (20E07) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Ultraproducts and related constructions (03C20)

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Cites Work

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• On simple periodic linear groups -- dense subgroups, permutation representations, and induced modules
• Groups with the minimal condition on centralizers
• Model theory.
• Nilpotency in groups with the minimal condition on centralizers
• Centraliser dimension and universal classes of groups.
• Pseudofinite groups as fixed points in simple groups of finite Morley rank
• The elementary theory of finite fields
• Remarks on centrality and cyclicity in linear groups
• Alternatives for pseudofinite groups
• On Simple Pseudofinite Groups
• Theory of algebraic linear groups and periodic groups
• Sylow 𝑝-subgroups of the general linear group

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