AbstractIf A and B are groups such that A x Z ≊ B x Z, then A and B are elementarily equivalent. From this follows the existence of finitely generated torsion-free nilpotent groups which are elementarily equivalent without being isomorphic
AbstractIf n-tuples ḡ,h̄ in a rank 2 free group satisfy the same existential formulas, then there i...
AbstractTwo G-sets (G a finite group) are called linearly equivalent over a commutative ring k if th...
AbstractLet F be an algebraically closed field. Let V be a vector space equipped with a non-degenera...
AbstractIf A and B are groups such that A x Z ≊ B x Z, then A and B are elementarily equivalent. Fro...
Abstract. There are many examples of non-isomorphic pairs of finitely generated abstract groups that...
AbstractIn this paper, we give a complete algebraic description of groups elementarily equivalent to...
AbstractConfirming a conjecture of G. Hjorth and A. Kechris (1996, Ann. Pure Appl. Logic82, 221–272)...
AbstractFor a finite group G and a set I ⊆ {1, 2,…, n} let G(n,I) = ∑g ∈ G ε1(g)⊗ε2(g)⊗⋯⊗εn(g),where...
We give an elementary proof of the following result: If G is a compact non-zero Abelian group with d...
Two groups are said to be elementarily equivalent if they satisfy the same first-order sentences in ...
AbstractA pair of finitely generated, torsion-free nilpotent groups G1,G2 is constructed with the pr...
AbstractWe prove that the isomorphism problem for torsion-free Abelian groups is as complicated as a...
AbstractLetbbe ap-block of a finite groupGwith abelian defect groupPandea root ofbinCG(P). If the in...
AbstractBy definition, the groups G and H are n-isoclinic (n≥1) whenever G and H share the following...
Let K, L be finitely generated fields with K ≡ L. Is K isomorphic to L? In 2020, Dittmann and Pop [D...
AbstractIf n-tuples ḡ,h̄ in a rank 2 free group satisfy the same existential formulas, then there i...
AbstractTwo G-sets (G a finite group) are called linearly equivalent over a commutative ring k if th...
AbstractLet F be an algebraically closed field. Let V be a vector space equipped with a non-degenera...
AbstractIf A and B are groups such that A x Z ≊ B x Z, then A and B are elementarily equivalent. Fro...
Abstract. There are many examples of non-isomorphic pairs of finitely generated abstract groups that...
AbstractIn this paper, we give a complete algebraic description of groups elementarily equivalent to...
AbstractConfirming a conjecture of G. Hjorth and A. Kechris (1996, Ann. Pure Appl. Logic82, 221–272)...
AbstractFor a finite group G and a set I ⊆ {1, 2,…, n} let G(n,I) = ∑g ∈ G ε1(g)⊗ε2(g)⊗⋯⊗εn(g),where...
We give an elementary proof of the following result: If G is a compact non-zero Abelian group with d...
Two groups are said to be elementarily equivalent if they satisfy the same first-order sentences in ...
AbstractA pair of finitely generated, torsion-free nilpotent groups G1,G2 is constructed with the pr...
AbstractWe prove that the isomorphism problem for torsion-free Abelian groups is as complicated as a...
AbstractLetbbe ap-block of a finite groupGwith abelian defect groupPandea root ofbinCG(P). If the in...
AbstractBy definition, the groups G and H are n-isoclinic (n≥1) whenever G and H share the following...
Let K, L be finitely generated fields with K ≡ L. Is K isomorphic to L? In 2020, Dittmann and Pop [D...
AbstractIf n-tuples ḡ,h̄ in a rank 2 free group satisfy the same existential formulas, then there i...
AbstractTwo G-sets (G a finite group) are called linearly equivalent over a commutative ring k if th...
AbstractLet F be an algebraically closed field. Let V be a vector space equipped with a non-degenera...
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