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Currently displaying 1 – 5 of 5

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Strong boundedness and algebraically closed groups

Barbara Majcher-Iwanow — 2007

Commentationes Mathematicae Universitatis Carolinae

Let $G$ be a non-trivial algebraically closed group and $X$ be a subset of $G$ generating $G$ in infinitely many steps. We give a construction of a binary tree associated with $(G, X)$ . Using this we show that if $G$ is $ω_{1}$ -existentially closed then it is strongly bounded.

Inert subgroups of uncountable locally finite groups

Barbara Majcher-Iwanow — 2003

Commentationes Mathematicae Universitatis Carolinae

Let $G$ be an uncountable universal locally finite group. We study subgroups $H < G$ such that for every $g \in G$ , $| H : H \cap H^{g} | < | H |$ .

Cardinal invariants of the lattice of partitions

Barbara Majcher-Iwanow — 2000

Commentationes Mathematicae Universitatis Carolinae

We study cardinal coefficients related to combinatorial properties of partitions of $ω$ with respect to the order of almost containedness.

Orthogonal partitions

Barbara Majcher-Iwanow — 1990

Acta Universitatis Carolinae. Mathematica et Physica

Dualization of van Douwen diagram

Jacek Cichoń; Barbara Majcher-Iwanow; Bogdan Węglorz — 1992

Acta Universitatis Carolinae. Mathematica et Physica

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