Abstract
We compare groups with rings in a range of contexts in which ring theory problems tend to be more tractable than their group theory analogues. The main topics discussed in this paper are probabilistic identities in groups, rings which are almost PI, and random generation of groups and algebras. We show, for example, that almost PI algebras are PI, while the analogous problem for groups is very much open.
| Original language | English |
|---|---|
| Title of host publication | Amitsur Centennial Symposium, 2021 |
| Editors | Avinoam Mann, Louis H. Rowen, David J. Saltman, Aner Shalev, Lance W. Small, Uzi Vishne |
| Publisher | American Mathematical Society |
| Pages | 203-217 |
| Number of pages | 15 |
| ISBN (Print) | 9781470475550 |
| DOIs | |
| State | Published - 2024 |
| Event | Amitsur Centennial Symposium, 2021 - Jerusalem, Israel Duration: 1 Nov 2021 → 4 Nov 2021 |
Publication series
| Name | Contemporary Mathematics |
|---|---|
| Volume | 800 |
| ISSN (Print) | 0271-4132 |
| ISSN (Electronic) | 1098-3627 |
Conference
| Conference | Amitsur Centennial Symposium, 2021 |
|---|---|
| Country/Territory | Israel |
| City | Jerusalem |
| Period | 1/11/21 → 4/11/21 |
Bibliographical note
Publisher Copyright:© 2024 Michael Larsen and Aner Shalev.
Keywords
- Almost PI algebras
- probabilistic identities
- random generation