BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20250818T140803EDT-3882UNmZ3T@132.216.98.100 DTSTAMP:20250818T180803Z DESCRIPTION:Title: Combination of groups with hyperbolically embedded subgr oups and groups with well-defined relative dehn functions.\n\nAbstract: Hy perbolically embedded subgroups were defined by F. Dahmani\, V. Guirardel and D. Osin as a generalization of peripheral structure of relatively hype rbolic groups. We revisit the definition of these subgroups using the Bowd itch graph approach which was described by E. Martinez Pedroza and F. Rash id. Then we prove a combination theorem for hyperbolically embedded subgro ups where each edge group of the splitting graph of groups is conjugate in to a 'subgroup' of a peripheral structure of the adjacent vertex group. Mo reover\, after defining groups with well-defined relative dehn function\, we provide a similar combination theorem for these groups which follows fr om constructing a Cayley_Abel graph in the first part of this talk. The me thod of proof provides lower and upper bounds of the relative Dehn functio ns in terms of the relative Dehn functions of the vertex groups. This is a joint work with E. Martinez Pedroza.\n DTSTART:20240124T200000Z DTEND:20240124T210000Z LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue Sherbrooke Ouest SUMMARY:Hadi Bigdely (Marianapolis College) URL:/mathstat/channels/event/hadi-bigdely-marianapolis -college-354547 END:VEVENT END:VCALENDAR