ABSTRACT. In this paper, it is proved that no nontrivial proper normal subgroup of the group of permutations of a set X can be the group of homeomorphisms of (X,T) for any topology T on X. KEY WORDS AND PHRASES
© 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativec...
AbstractWe discuss the ways in which a Lie group G can act as a group of transformations of a topolo...
Let G be a finite group, and let F be a formation of finite group. We say that a subgroup H of G is ...
ABSTRACT. In this paper, it is proved that no nontrivial proper normal subgroup of the group of perm...
AbstractLet R, Q, I and C denote respectively the reals, the rationals, the irrationals and the Cant...
Let R, Q, I and C denote respectively the reals, the rationals, the irrationals and the Cantor set e...
AbstractWe investigate finite solvable permutation groups in which all normal subgroups are transiti...
Some generalisations to infinite permutation groups of familiar results on normal subgroups of finit...
AbstractIn this paper we study some relations between the group of L-fuzzy homeomorphisms of an L-fu...
Let Homeo(S1) represent the full group of homeomorphisms of the unit circle S1, and let A represent ...
[EN] In this article, we prove that the group of all increasing homeomorphisms on R has exactly fiv...
If X is an object of a category, we denote by A(X) the group of all automorphisms of X. Thus for exa...
In this thesis we investigate some problems in set theoretical topology related to the concepts of t...
A subgroup H of a group G is said to be permutable if HK = KH for every subgroup K of G and the grou...
A subgroup H of a group G is said to be permutable if HK = KH for every subgroup K of G and the grou...
© 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativec...
AbstractWe discuss the ways in which a Lie group G can act as a group of transformations of a topolo...
Let G be a finite group, and let F be a formation of finite group. We say that a subgroup H of G is ...
ABSTRACT. In this paper, it is proved that no nontrivial proper normal subgroup of the group of perm...
AbstractLet R, Q, I and C denote respectively the reals, the rationals, the irrationals and the Cant...
Let R, Q, I and C denote respectively the reals, the rationals, the irrationals and the Cantor set e...
AbstractWe investigate finite solvable permutation groups in which all normal subgroups are transiti...
Some generalisations to infinite permutation groups of familiar results on normal subgroups of finit...
AbstractIn this paper we study some relations between the group of L-fuzzy homeomorphisms of an L-fu...
Let Homeo(S1) represent the full group of homeomorphisms of the unit circle S1, and let A represent ...
[EN] In this article, we prove that the group of all increasing homeomorphisms on R has exactly fiv...
If X is an object of a category, we denote by A(X) the group of all automorphisms of X. Thus for exa...
In this thesis we investigate some problems in set theoretical topology related to the concepts of t...
A subgroup H of a group G is said to be permutable if HK = KH for every subgroup K of G and the grou...
A subgroup H of a group G is said to be permutable if HK = KH for every subgroup K of G and the grou...
© 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativec...
AbstractWe discuss the ways in which a Lie group G can act as a group of transformations of a topolo...
Let G be a finite group, and let F be a formation of finite group. We say that a subgroup H of G is ...