September 5, 2019
1:50PM - 2:50PM
Enarson Classroom Bldg 206
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2019-09-05 13:50:00
2019-09-05 14:50:00
Geometric Group Theory Seminar - Rachel Skipper
Title: Finiteness Properties for Simple Groups
Speaker: Rachel Skipper, The Ohio State University
Abstract: A group is said to be of type $F_n$ if it admits a classifying space with compact $n$-skeleton. We will consider the class of R\"{o}ver-Nekrachevych groups, a class of groups built out of self-similar groups and Higman-Thompson groups, and use them to produce a simple group of type $F_{n-1}$ but not $F_n$ for each $n$. These are the first known examples for $n\geq 3$. As a consequence, we find the second known infinite family of quasi-isometry classes of finitely presented simple groups.
Enarson Classroom Bldg 206
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2019-09-05 13:50:00
2019-09-05 14:50:00
Geometric Group Theory Seminar - Rachel Skipper
Title: Finiteness Properties for Simple Groups
Speaker: Rachel Skipper, The Ohio State University
Abstract: A group is said to be of type $F_n$ if it admits a classifying space with compact $n$-skeleton. We will consider the class of R\"{o}ver-Nekrachevych groups, a class of groups built out of self-similar groups and Higman-Thompson groups, and use them to produce a simple group of type $F_{n-1}$ but not $F_n$ for each $n$. These are the first known examples for $n\geq 3$. As a consequence, we find the second known infinite family of quasi-isometry classes of finitely presented simple groups.
Enarson Classroom Bldg 206
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Finiteness Properties for Simple Groups
Speaker: Rachel Skipper, The Ohio State University
Abstract: A group is said to be of type $F_n$ if it admits a classifying space with compact $n$-skeleton. We will consider the class of R\"{o}ver-Nekrachevych groups, a class of groups built out of self-similar groups and Higman-Thompson groups, and use them to produce a simple group of type $F_{n-1}$ but not $F_n$ for each $n$. These are the first known examples for $n\geq 3$. As a consequence, we find the second known infinite family of quasi-isometry classes of finitely presented simple groups.
