What does free group mean?
Definitions for free group
free group
This dictionary definitions page includes all the possible meanings, example usage and translations of the word free group.
Wiktionary
free groupnoun
A group (set with a particular kind of binary operation) that has a presentation without relators; equivalently, a free product of some number of copies of .
Wikipedia
Free group
In mathematics, the free group FS over a given set S consists of all words that can be built from members of S, considering two words to be different unless their equality follows from the group axioms (e.g. st = suu−1t, but s ≠ t−1 for s,t,u ∈ S). The members of S are called generators of FS, and the number of generators is the rank of the free group. An arbitrary group G is called free if it is isomorphic to FS for some subset S of G, that is, if there is a subset S of G such that every element of G can be written in exactly one way as a product of finitely many elements of S and their inverses (disregarding trivial variations such as st = suu−1t). A related but different notion is a free abelian group; both notions are particular instances of a free object from universal algebra. As such, free groups are defined by their universal property.
Wikidata
Free group
In mathematics, a group G is called free if there is a subset S of G such that every element of G can be written in one and only one way as a product of finitely many elements of S and their inverses. Apart from the existence of inverses no other relation may exist between the generators of a free group. A related but different notion is a free abelian group.
Numerology
Chaldean Numerology
The numerical value of free group in Chaldean Numerology is: 1
Pythagorean Numerology
The numerical value of free group in Pythagorean Numerology is: 3
Examples of free group in a Sentence
But discussions are still within some kind of corridor, it's not a completely free group. We just have more access to ask about details.
Sometimes we give them feedback on how the market responds to a BI move, but discussions are still within some kind of corridor, it's not a completely free group. We just have more access to ask about details.
Translations for free group
From our Multilingual Translation Dictionary
Get even more translations for free group »
Translation
Find a translation for the free group definition in other languages:
Select another language:
- - Select -
- 简体中文 (Chinese - Simplified)
- 繁體中文 (Chinese - Traditional)
- Español (Spanish)
- Esperanto (Esperanto)
- 日本語 (Japanese)
- Português (Portuguese)
- Deutsch (German)
- العربية (Arabic)
- Français (French)
- Русский (Russian)
- ಕನ್ನಡ (Kannada)
- 한국어 (Korean)
- עברית (Hebrew)
- Gaeilge (Irish)
- Українська (Ukrainian)
- اردو (Urdu)
- Magyar (Hungarian)
- मानक हिन्दी (Hindi)
- Indonesia (Indonesian)
- Italiano (Italian)
- தமிழ் (Tamil)
- Türkçe (Turkish)
- తెలుగు (Telugu)
- ภาษาไทย (Thai)
- Tiếng Việt (Vietnamese)
- Čeština (Czech)
- Polski (Polish)
- Bahasa Indonesia (Indonesian)
- Românește (Romanian)
- Nederlands (Dutch)
- Ελληνικά (Greek)
- Latinum (Latin)
- Svenska (Swedish)
- Dansk (Danish)
- Suomi (Finnish)
- فارسی (Persian)
- ייִדיש (Yiddish)
- հայերեն (Armenian)
- Norsk (Norwegian)
- English (English)
Word of the Day
Would you like us to send you a FREE new word definition delivered to your inbox daily?
Citation
Use the citation below to add this definition to your bibliography:
Style:MLAChicagoAPA
"free group." Definitions.net. STANDS4 LLC, 2024. Web. 27 Apr. 2024. <https://www.definitions.net/definition/free+group>.
Discuss these free group definitions with the community:
Report Comment
We're doing our best to make sure our content is useful, accurate and safe.
If by any chance you spot an inappropriate comment while navigating through our website please use this form to let us know, and we'll take care of it shortly.
Attachment
You need to be logged in to favorite.
Log In