Parcialna delovanja grup

delo diplomskega seminarja

Ian Kesar (Author), Ganna Kudryavtseva (Mentor)

Abstract

V diplomskem delu bomo obravnavali parcialna delovanja grup. Na začetku si bomo pogledali strukturo zožitve delovanja grupe na podmnožico, ki bo služila kot motivacijski primer za definicijo parcialnega delovanja grupe. V nadaljevanju bomo pokazali, da se da vsako parcialno delovanje grupe na množici globalizirati, tj. pokazali bomo, da je vsako parcialno delovanje zožitev delovanja grupe. Zaključili bomo s tem, da si pogledamo topologijo, ki se porodi pri globalizaciji parcialnega delovanja topološke grupe na topološkem prostoru.

Keywords

parcialna delovanja grup;globalizacija;inverzne polgrupe;parcialne permutacije;simetrični inverzni monoid;premorfizem;parcialno delovanje topološke grupe;

Data

Language:	Slovenian
Year of publishing:	2024
Typology:	2.11 - Undergraduate Thesis
Organization:	UL FMF - Faculty of Mathematics and Physics
Publisher:	[I. Kesar]
UDC:	512
COBISS:	200276227
Views:	61
Downloads:	5
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	Partial actions of groups
Secondary abstract:	In this work we will study partial group actions. We will begin by looking at the structure of restrictions of group actions, which will serve to motivate the definition of partial group actions. Then we will show, that each partial group action can be globalised, that is, we will show that every partial group action is a restriction of a group action. At the end we will look at the topology that arises when we globalise a partial action of a topological group on a topological space.
Secondary keywords:	partial group actions;globalisation;inverse semigroups;partial permutation;symmetric inverse semigroup;premorphism;partial action of a topological group;
Type (COBISS):	Final seminar paper
Study programme:	0
Thesis comment:	Univ. v Ljubljani, Fak. za matematiko in fiziko, Oddelek za matematiko, Matematika - 1. stopnja
Pages:	35 str.
ID:	24505509