Asymptotic invariants of residually finite just infinite groups

DOI10.1007/s40879-024-00796-4MaRDI QIDQ6661100

Andrei Jaikin-Zapirain, Steffen Kionke

Publication date: 10 January 2025

Published in: European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

pro-\(p\) groupprofinite groupSylvester rank functionjust infinite group

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Residual properties and generalizations; residually finite groups (20E26) Limits, profinite groups (20E18)

Cites Work

• Unnamed Item
• On the growth of Betti numbers in \(p\)-adic analytic towers
• Approximating \(L^ 2\)-invariants by their finite-dimensional analogues
• \(\ell^2\) invariants of equivalence relations and groups
• Basic reductions in the description of normal subgroups.
• Normal generation and \(\ell^2\)-Betti numbers of groups.
• The base change in the Atiyah and the Lück approximation conjectures
• The first \(L^2\)-Betti number and approximation in arbitrary characteristic
• ${\mathrm A}_3$-proof of structure theorems for Chevalley groups of types ${\mathrm E}_6$ and ${\mathrm E}_7$ II. Main lemma
• On p-deficiency in groups
• Arbitrary p-gradient values
• A -group with positive rank gradient
• SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT
• A SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR 2-GROUPS
• Groups of positive weighted deficiency and their applications
• Bivariant and extended Sylvester rank functions
• An $\mathrm {A}_2$-proof of structure theorems for Chevalley groups of types $\mathrm {E}_6$ and $\mathrm {E}_7$
• Profinite Groups
• Free \(\mathbb{Q}\)-groups are residually torsion-free nilpotent

This page was built for publication: Asymptotic invariants of residually finite just infinite groups