query: A group that needs to be proven by definition?
positive_passages.docid: 26572
positive_passages.text: Does the Symmetric difference operator define a group on the powerset of a set?
negative_passages.docid: 25421
negative_passages.text: Simple or not simple Groups
negative_passages.docid: 92057
negative_passages.text: Prove that for every odd integer n, there is a group...
negative_passages.docid: 85164
negative_passages.text: Needing help picturing the group idea.
negative_passages.docid: 136577
negative_passages.text: In formal logic, how is it possible for an argument with a contradictory conclusion to be valid?
negative_passages.docid: 116707
negative_passages.text: Prove or disprove: $(\mathbb{Z}^*, \cdot)$ and/or $(\mathbb{Z}^*, \div)$ is a group.
negative_passages.docid: 118022
negative_passages.text: Show that a group of order $180$ is not simple.
negative_passages.docid: 92430
negative_passages.text: Show that the group is cyclic.
negative_passages.docid: 104980
negative_passages.text: Possibilities for a group $G$ that acts faithfully on a set of objects with two orbits?
negative_passages.docid: 139025
negative_passages.text: Do all Groups have a representation?
negative_passages.docid: 77286
negative_passages.text: Proving set theory question
negative_passages.docid: 158368
negative_passages.text: Irrationals: A Group?
negative_passages.docid: 136734
negative_passages.text: Do truth tables need proofs?
negative_passages.docid: 90081
negative_passages.text: problems in group theory
negative_passages.docid: 63162
negative_passages.text: Is there a characterization of groups with the property $\forall N\unlhd G,\:\exists H\leq G\text{ s.t. }H\cong G/N$?
negative_passages.docid: 47926
negative_passages.text: What is the logical form of the definition of validity?
negative_passages.docid: 133194
negative_passages.text: Can we prove reality?