What does normal subgroup mean?

Definitions for normal subgroup
nor·mal sub·group

Here are all the possible meanings and translations of the word normal subgroup.

Wiktionary

  1. normal subgroupnoun

    A subgroup H of a group G that is invariant under conjugation; that is, for all elements h of H and for all elements g in G, the element ghg is in H.

Freebase

  1. Normal subgroup

    In abstract algebra, a normal subgroup is a subgroup which is invariant under conjugation by members of the group of which it is a part. In other words, a subgroup H of a group G is normal in G if and only if gH = Hg for all g in G. Normal subgroups can be used to construct quotient groups from a given group. Évariste Galois was the first to realize the importance of the existence of normal subgroups.

How to pronounce normal subgroup?

How to say normal subgroup in sign language?

Numerology

  1. Chaldean Numerology

    The numerical value of normal subgroup in Chaldean Numerology is: 5

  2. Pythagorean Numerology

    The numerical value of normal subgroup in Pythagorean Numerology is: 3

Images & Illustrations of normal subgroup

  1. normal subgroup


Translations for normal subgroup

From our Multilingual Translation Dictionary

  • सामान्य उपसमूहHindi

Get even more translations for normal subgroup »

Translation

Find a translation for the normal subgroup 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?

Please enter your email address:


Discuss these normal subgroup definitions with the community:

0 Comments

    Citation

    Use the citation below to add this definition to your bibliography:

    Style:MLAChicagoAPA

    "normal subgroup." Definitions.net. STANDS4 LLC, 2021. Web. 2 Dec. 2021. <https://www.definitions.net/definition/normal+subgroup>.

    Are we missing a good definition for normal subgroup? Don't keep it to yourself...

    Browse Definitions.net

    Free, no signup required:

    Add to Chrome

    Get instant definitions for any word that hits you anywhere on the web!

    Free, no signup required:

    Add to Firefox

    Get instant definitions for any word that hits you anywhere on the web!

    Quiz

    Are you a words master?

    »
    a blue dye obtained from plants or made synthetically
    • A. anil
    • B. recital
    • C. elan
    • D. whitewash

    Nearby & related entries:

    Alternative searches for normal subgroup: