AbstractWe show that the group of trivial automorphisms of P(ω)/fin is not simple. Via a result of Shelah it follows that it is consistent that the entire automorphism group of P(ω)/fin (≡ the autohomeomorphism group of βω⧹ω) is not simple
AbstractLet F be a finite field, and φ: F∗ → E a surjective group homomorphism from the multiplicati...
AbstractFor any field k and integers n⩾1, d⩾3, with (n,d) not equal to (1,3) or (2,4), we exhibit a ...
We prove that for any transitive subshift X with word complexity function cn(X), if lim inf(log(cn(X...
AbstractWe show that the group of trivial automorphisms of P(ω)/fin is not simple. Via a result of S...
AbstractLet OCA denote the Open Coloring Axiom. We show that OCA+MAℵ1 implies that P(ω)⧸fin and P(ω1...
AbstractWe construct, under CH, a homogeneous Boolean algebra A such that A has a countable dense su...
We adapt a proof of Lascar in order to show the simplicity of the group of automorphisms fixing poin...
We present, under the Continuum Hypothesis (CH), a construction of an automorphism of P(ω)/fin which...
AbstractFor any group Γ and any integer k ⩾ 0 a characteristic subgroup Ψk(Γ) is defined having the ...
AbstractFor every κ let L(κ) denote the quotient Boolean algebra P(κ)[κ]<κ. We would like to answer ...
AbstractWe construct, under CH, a homogeneous Boolean algebra A such that A has a countable dense su...
AbstractLetkbe a field of characteristicpand letγ∈Autk(k((t))). Form⩾0 defineim=vt(γpmt−t)−1. We sho...
Let K be a perfect field of characteristic p > 0; A(1) := K be the first Weyl algebra; and Z := K[X...
AbstractLet OCA denote the Open Coloring Axiom. We show that OCA+MAℵ1 implies that P(ω)⧸fin and P(ω1...
AbstractMotivated by the Kohn–Nirenberg domain, J.E. Fornæss considered the germ of a domain near th...
AbstractLet F be a finite field, and φ: F∗ → E a surjective group homomorphism from the multiplicati...
AbstractFor any field k and integers n⩾1, d⩾3, with (n,d) not equal to (1,3) or (2,4), we exhibit a ...
We prove that for any transitive subshift X with word complexity function cn(X), if lim inf(log(cn(X...
AbstractWe show that the group of trivial automorphisms of P(ω)/fin is not simple. Via a result of S...
AbstractLet OCA denote the Open Coloring Axiom. We show that OCA+MAℵ1 implies that P(ω)⧸fin and P(ω1...
AbstractWe construct, under CH, a homogeneous Boolean algebra A such that A has a countable dense su...
We adapt a proof of Lascar in order to show the simplicity of the group of automorphisms fixing poin...
We present, under the Continuum Hypothesis (CH), a construction of an automorphism of P(ω)/fin which...
AbstractFor any group Γ and any integer k ⩾ 0 a characteristic subgroup Ψk(Γ) is defined having the ...
AbstractFor every κ let L(κ) denote the quotient Boolean algebra P(κ)[κ]<κ. We would like to answer ...
AbstractWe construct, under CH, a homogeneous Boolean algebra A such that A has a countable dense su...
AbstractLetkbe a field of characteristicpand letγ∈Autk(k((t))). Form⩾0 defineim=vt(γpmt−t)−1. We sho...
Let K be a perfect field of characteristic p > 0; A(1) := K be the first Weyl algebra; and Z := K[X...
AbstractLet OCA denote the Open Coloring Axiom. We show that OCA+MAℵ1 implies that P(ω)⧸fin and P(ω1...
AbstractMotivated by the Kohn–Nirenberg domain, J.E. Fornæss considered the germ of a domain near th...
AbstractLet F be a finite field, and φ: F∗ → E a surjective group homomorphism from the multiplicati...
AbstractFor any field k and integers n⩾1, d⩾3, with (n,d) not equal to (1,3) or (2,4), we exhibit a ...
We prove that for any transitive subshift X with word complexity function cn(X), if lim inf(log(cn(X...
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