Cardinal invariants of infinite groups

1990 ◽  
Vol 30 (3) ◽  
pp. 155-170
Author(s):  
Jörg Brendle
Keyword(s):  
Infinite Groups ◽  
Cardinal Invariants

Geometric Cardinal Invariants, Maximal Functions and a Measure Theoretic Pigeonhole Principle

2005 ◽  
Vol 11 (4) ◽  
pp. 517-525
Author(s):  
Juris Steprāns
Keyword(s):  
Harmonic Analysis ◽  
Set Theory ◽  
Harmonic Functions ◽  
Maximal Functions ◽  
Pigeonhole Principle ◽  
Cardinal Invariants ◽  
Geometric Objects

AbstractIt is shown to be consistent with set theory that every set of reals of size ℵ1 is null yet there are ℵ1 planes in Euclidean 3-space whose union is not null. Similar results will be obtained for other geometric objects. The proof relies on results from harmonic analysis about the boundedness of certain harmonic functions and a measure theoretic pigeonhole principle.

CARDINAL INVARIANTS AND SETS OF REALS

1995 ◽  
Vol 21 (1) ◽  
pp. 78
Author(s):  
Bartoszyński
Keyword(s):  
Cardinal Invariants

scholarly journals Semigroups with few endomorphisms

1969 ◽  
Vol 10 (1-2) ◽  
pp. 162-168 ◽  
Author(s):  
Vlastimil Dlab ◽  
B. H. Neumann
Keyword(s):  
Cyclic Group ◽  
Finite Groups ◽  
Automorphism Groups ◽  
Infinite Groups ◽  
Infinite Cyclic Group

Large finite groups have large automorphism groups [4]; infinite groups may, like the infinite cyclic group, have finite automorphism groups, but their endomorphism semigroups are infinite (see Baer [1, p. 530] or [2, p. 68]). We show in this paper that the corresponding propositions for semigroups are false.

Converse dual cardinals

2006 ◽  
Vol 71 (1) ◽  
pp. 22-34 ◽  
Author(s):  
Jörg Brendle ◽  
Shuguo Zhang
Keyword(s):  
Natural Numbers ◽  
Cardinal Invariants ◽  
The Continuum

AbstractWe investigate the set (ω) of partitions of the natural numbers ordered by ≤* where A ≤* B if by gluing finitely many blocks of A we can get a partition coarser than B. In particular, we determine the values of a number of cardinals which are naturally associated with the structure ((ω), ≥*), in terms of classical cardinal invariants of the continuum.

Infinite groups with a generalized dense system of subnormal subgroups

1982 ◽  
Vol 33 (3) ◽  
pp. 313-316
Author(s):  
L. A. Kurdachenko ◽  
N. F. Kuzennyi ◽  
V. V. Pylaev
Keyword(s):  
Infinite Groups ◽  
Dense System ◽  
Subnormal Subgroups

Some Remarks on Infinite Groups

1937 ◽  
Vol s1-12 (2) ◽  
pp. 120-127 ◽  
Author(s):  
B. H. Neumann
Keyword(s):  
Infinite Groups

Infinite Groups with an Anticentral Element

2012 ◽  
Vol 40 (12) ◽  
pp. 4627-4638 ◽  
Author(s):  
Kıvanç Ersoy
Keyword(s):  
Infinite Groups

scholarly journals On infinite groups in which all abelian subgroups are locally cyclic

2021 ◽  
Author(s):  
Costantino Delizia ◽  
Chiara Nicotera
Keyword(s):  
Finite Groups ◽  
Abelian Subgroup ◽  
Periodic Case ◽  
Infinite Groups ◽  
Locally Finite ◽  
Locally Finite Groups ◽  
Periodic Groups ◽  
Abelian Subgroups

AbstractThe structure of locally soluble periodic groups in which every abelian subgroup is locally cyclic was described over 20 years ago. We complete the aforementioned characterization by dealing with the non-periodic case. We also describe the structure of locally finite groups in which all abelian subgroups are locally cyclic.

On c#-normal subgroups infinite groups

2018 ◽  
Vol 13 (5) ◽  
pp. 1169-1178
Author(s):  
Huaquan Wei ◽  
Qiao Dai ◽  
Hualian Zhang ◽  
Yubo Lv ◽  
Liying Yang
Keyword(s):  
Normal Subgroups ◽  
Infinite Groups

scholarly journals On Dowling geometries of infinite groups

2004 ◽  
Vol 108 (1) ◽  
pp. 155-158
Author(s):  
Peter Brooksbank ◽  
Hongxun Qin ◽  
Edmund Robertson ◽  
Ákos Seress
Keyword(s):  
Infinite Groups
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