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A note on the continuous extensions of injective morphisms between free groups to relatively fre profinite groups.

Thierry Coulbois, Mark Sapir, Pascal Weil (2003)

Publicacions Matemàtiques

Let V be a pseudovariety of finite groups such that free groups are residually V, and let φ: F(A) → F(B) be an injective morphism between finitely generated free groups. We characterize the situations where the continuous extension φ' of φ between the pro-V completions of F(A) and F(B) is also injective. In particular, if V is extension-closed, this is the case if and only if φ(F(A)) and its pro-V closure in F(B) have the same rank. We examine a number of situations where the injectivity of φ' can...

A note on the converse of the Clifford's theorem and some consequences

G. Navarro (1987)

Rendiconti del Seminario Matematico della Università di Padova

A note on the countable extensions of separable $p^{ω + n}$ -projective abelian $p$ -groups

Peter Vassilev Danchev (2006)

Archivum Mathematicum

It is proved that if $G$ is a pure $p^{ω + n}$ -projective subgroup of the separable abelian $p$ -group $A$ for $n \in N \cup {0}$ such that $| A / G | \leq ℵ_{0}$ , then $A$ is $p^{ω + n}$ -projective as well. This generalizes results due to Irwin-Snabb-Cutler (CommentṀathU̇nivṠtṖauli, 1986) and the author (Arch. Math. (Brno), 2005).

Un gruppo finito ciclico-per-nilpotente appartiene alla minima classe di Fitting normale se e solo se è nilpotente.

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Displaying 381 – 400 of 983

A note on the continuous extensions of injective morphisms between free groups to relatively fre profinite groups.

A note on the converse of the Clifford's theorem and some consequences

A note on the countable extensions of separable $p^{ω + n}$ -projective abelian $p$ -groups

A Note on the Covering Groups of ...n, n ... 6.

A Note on the Discontinuous Subgroups of the Orthogonal Group.

A note on the embedding of topological semigroups.

A note on the endomorphisms associated to semi-direct decompositions of a group

A note on the finite extensivity property

A Note on the Growth of Davenport's constant.

A note on the isomorphism of modular group algebras of $p$ -mixed Abelian groups with divisible $p$ -components.

A note on the Jordan-Hölder theorem

A note on the Lawrence-Krammer-Bigelow representation.

A note on the maximal semilattice of an R*NC-semigroup decomposition

A note on the minimal normal Fitting class

A note on the number of associative triples in finite commutative Moufang loops

A note on the number of associative triples in quasigroups isotopic to groups

A note on the Pazderski ordering of the chief factors of a finite group

A note on the projective representations of finite groups

A note on the quasi-antiorder in a semigroup.

A note on the rank of self-dual polyhedra

Currently displaying 381 – 400 of 983