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math.GR2026
Selflessness, MIF and opposition in groups acting on exotic buildings
Corentin Le Bars, Elyasheev Leibtag, Itamar Vigdorovich
We prove that groups acting freely and cocompactly on (possibly exotic) affine buildings of type and are mixed-identity free and have selfless reduced $C…
math.GR2024
Semi-group compactifications of Algebraic Groups
Elyasheev Leibtag
We show that for connected affine algebraic groups over local fields of characteristic zero, the following are equivalent: every continuous homomorphism into a Hausdorff topologica…
math.GR2023
Homomorphic images of algebraic groups
Uri Bader, Elyasheev Leibtag
We study topological group theoretic properties of algebraic groups over local fields. In particular, we find conditions under which such groups have closed images under arbitrary…