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Ch. 2: Groups

Description

Mathematics (Abstract Algebra) Flashcards on Ch. 2: Groups, created by William Hartemink on 09/04/2017.
William Hartemink
Flashcards by William Hartemink, updated more than 1 year ago
William Hartemink
Created by William Hartemink about 8 years ago
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Question Answer
Define: binary operation
Image: a2e05a15-492c-40e4-a6e9-e86630418dc6 (image/png)
Define: group
Image: 73ab4bb1-61f4-4212-9b47-ad9235be384f (image/png)
Is the identity of a group always unique?
Image: 0cc1380b-3c6b-4fc8-a757-9f6acf2ac3f6 (image/png)
Cancellation
Image: 091603fc-ccf0-4d48-ab13-5ea972c17ff2 (image/png)
Are inverses in a group unique?
Image: 51bb603e-d60b-49da-a84f-1150e8f8d5ea (image/png)
Socks-Shoes Property
Image: f5be1783-7cee-4bfc-84da-ba0df9b5d702 (image/png)
Define: Abelian Group A group is Abelian group if all elements of the group commute.
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