52 citations · 217 across the 45 of their papers we have counts for
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math.MG2004★ 13 cited
On lattices of convex sets in R^n
George M. Bergman
Properties of several sorts of lattices of convex subsets of R^n are examined. The lattice of convex sets containing the origin turns out, for n>1, to satisfy a set of identities s…
math.GR2004★ 16 cited
Closed subgroups of the infinite symmetric group
George M. Bergman, Saharon Shelah
Let S=Sym(Ω) be the group of all permutations of a countably infinite set Ω, and for subgroups G_1, G_2\leq S let us write G_1\approx G_2 if there exists a finite set U\subseteq S…
math.GR2004★ 52 cited
Generating infinite symmetric groups
George M. Bergman
Let S=Sym(Ω) be the group of all permutations of an infinite set Ω. Extending an argument of Macpherson and Neumann, it is shown that if U is a generating set for S as a group, res…