Kratki zakoni v grupah
delo diplomskega seminarja
Abstract
Bistvo diplomske naloge je predstaviti različne konstrukcije kratkih netrivialnih zakonov v grupah. Pri tem obravnavamo naravne družine grup, ki se pri tem pojavijo, kot so na primer nilpotentne, rešljive, enostavne in simetrične. Na koncu predstavimo, kako se iskanja zakonov lotimo z uporabo računalnika.
Keywords
zakoni v grupah;proste grupe;nilpotentne grupe;rešljive grupe;enostavne grupe;simetrične grupe;Cayleyjevi grafi;GAP;
Data
| Language: | Slovenian |
|---|---|
| Year of publishing: | 2024 |
| Typology: | 2.11 - Undergraduate Thesis |
| Organization: | UL FMF - Faculty of Mathematics and Physics |
| Publisher: | [J. Knap] |
| UDC: | 512 |
| COBISS: |
207986179
|
| Views: | 49 |
| Downloads: | 8 |
| Average score: | 0 (0 votes) |
| Metadata: |
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Other data
| Secondary language: | English |
|---|---|
| Secondary title: | Short Group Laws |
| Secondary abstract: | The purpose of this thesis is to present various constructions of short group laws. In order to do so, we examine the properties of nilpotent, solvable, simple, and symmetric groups. The thesis is concluded by illustrating how computational methods can be used to discover group laws. |
| Secondary keywords: | group laws;free groups;nilpotent groups;solvable groups;simple groups;symmetric groups;Cayley graphs;GAP; |
| Type (COBISS): | Final seminar paper |
| Study programme: | 0 |
| Embargo end date (OpenAIRE): | 1970-01-01 |
| Thesis comment: | Univ. v Ljubljani, Fak. za matematiko in fiziko, Oddelek za matematiko, Matematika - 1. stopnja |
| Pages: | 44 str. |
| ID: | 25050667 |
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