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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeJun 22nd 2010
• (edited Jun 22nd 2010)

reformatted the entry group a little, expanded the Examples-section a little and then pasted in the group-related “counterexamples” from counterexamples in algebra. Mainly to indicate how I think this latter entry should eventually be used to improve the entries that it refers to.

• CommentRowNumber2.
• CommentAuthorTobyBartels
• CommentTimeJun 23rd 2010

I removed the counterexample which was not about group theory (and clarified the header in counterexamples in algebra).

• CommentRowNumber3.
• CommentAuthorjesuslop
• CommentTimeDec 21st 2019

Minor correction, about “The reason is that two functors…” to change that the $\eta_h$ natural transformation is between the delooped version of the parallel group homomorphisms, instead of the homomorphisms themselves.

• CommentRowNumber4.
• CommentAuthorbezem
• CommentTimeJan 27th 2020
Why is the inverse operation not part of the structure of a group (instead of existence of inverses as a property of a monoid)?
For a topological group it is, and the inverse operation is required to be continuous.
• CommentRowNumber5.
• CommentAuthorTodd_Trimble
• CommentTimeJan 27th 2020

Yes, the definition section is arguably a little lacking there, even though the article redeems itself later, down in Internalization. So I’ve fixed it along these lines.

DavidWhitten

• CommentRowNumber7.
• CommentAuthorDmitri Pavlov
• CommentTimeApr 16th 2021