Metric ultraproducts of classical groups
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DOI: 10.1007/s00013-017-1087-3
Abstract: Simple non-discrete metric ultraproducts of classical groups are geodesic spaces with respect to a natural metric. read more here.
Keywords: classical groups; metric ultraproducts; ultraproducts classical;
Isomorphism questions for metric ultraproducts of finite quasisimple groups
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Group Theory"
DOI: 10.1515/jgth-2019-0165
Abstract: Abstract New results on metric ultraproducts of finite simple groups are established. We show that the isomorphism type of a simple metric ultraproduct of groups Xni(q){X_{n_{i}}(q)} (i∈I{i\in I}) for X∈{PGL,PSp,PGO(ε),PGU}{X\in\{\operatorname{PGL},\operatorname{PSp},\operatorname{PGO}^{(\varepsilon)% },\operatorname{PGU}\}} (ε=±{\varepsilon=\pm}) along an ultrafilter… read more here.
Keywords: metric ultraproduct; ultraproduct groups; operatorname; ultraproducts finite ... See more keywords