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Infinite algebras and pro-\(p\) groups. (English) Zbl 1115.20023

Bartholdi, Laurent (ed.) et al., Infinite groups: geometric, combinatorial and dynamical aspects. Based on the international conference on group theory: geometric, combinatorial and dynamical aspects of infinite groups, Gaeta, Italy, June 1–6, 2003. Basel: Birkhäuser (ISBN 3-7643-7446-2/hbk). Progress in Mathematics 248, 403-413 (2005).
Summary: We discuss three areas where infinite dimensional algebras meet pro-\(p\) groups: (1) the linearity problem for free pro-\(p\) groups, (2) asymptotic properties of Golod-Shafarevich groups, (3) algebras with property \((\tau)\).
For the entire collection see [Zbl 1083.20500].

MSC:

20E18 Limits, profinite groups
20F69 Asymptotic properties of groups
16R10 \(T\)-ideals, identities, varieties of associative rings and algebras
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