WoG 2024 Talk 1.6: Joshua J. Abraham - Geodetic groups and length functions
Speaker: Joshua J. Abraham
Institution: IISER Mohali
Title: Geodetic groups and length functions
Abstract: A connected graph is called geodetic when there is a unique geodesic between any pair of vertices. Groups that admit at least one geodetic Cayley graph are called geodetic. It was conjectured by Shapiro in 1997 that geodetic groups are precisely the plain groups. The problem of classifying geodetic groups remains open. In this talk, I will summarize recent progress on the problem, introduce the concept of length functions (in the sense of Lyndon), and describe how the existence of length functions satisfying certain properties is related to the geodetic problem.
Видео WoG 2024 Talk 1.6: Joshua J. Abraham - Geodetic groups and length functions канала World of GroupCraft
Institution: IISER Mohali
Title: Geodetic groups and length functions
Abstract: A connected graph is called geodetic when there is a unique geodesic between any pair of vertices. Groups that admit at least one geodetic Cayley graph are called geodetic. It was conjectured by Shapiro in 1997 that geodetic groups are precisely the plain groups. The problem of classifying geodetic groups remains open. In this talk, I will summarize recent progress on the problem, introduce the concept of length functions (in the sense of Lyndon), and describe how the existence of length functions satisfying certain properties is related to the geodetic problem.
Видео WoG 2024 Talk 1.6: Joshua J. Abraham - Geodetic groups and length functions канала World of GroupCraft
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10 сентября 2024 г. 19:58:55
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