first isomorphism theorem

proper noun

The theorem in group theory that, for any group homomorphism, the quotient group of the group by the kernel of the homomorphism is isomorphic to the image of the homomorphism.

Ask AI about this wordChatGPTClaudePerplexityGoogle AIGrok

Meanings

proper nounthe first isomorphism theorem
  1. algebraThe theorem in group theory that, for any group homomorphism, the quotient group of the group by the kernel of the homomorphism is isomorphic to the image of the homomorphism.
Cite this entry
APA

first isomorphism theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/first%20isomorphism%20theorem

MLA

“first isomorphism theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/first%20isomorphism%20theorem. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “first isomorphism theorem,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/first%20isomorphism%20theorem.

Source: first isomorphism theorem on Wiktionary, CC BY-SA 4.0.