query: Can every set be a group?
positive_passages.docid: 81406
positive_passages.text: Does every set have a group structure?
negative_passages.docid: 60982
negative_passages.text: Group where every element is order 2
negative_passages.docid: 109517
negative_passages.text: A subgroup such that every left coset is contained in a right coset.
negative_passages.docid: 142718
negative_passages.text: How can I find the smallest set of groups of $n$ elements such that every element is in the same group as every other at least once?
negative_passages.docid: 74860
negative_passages.text: Why is the empty set a subset of every set?
negative_passages.docid: 71902
negative_passages.text: How to define binary operation on arbitrary set in order to create a group structure.
negative_passages.docid: 29051
negative_passages.text: If I know the order of every element in a group, do I know the group?
negative_passages.docid: 25421
negative_passages.text: Simple or not simple Groups
negative_passages.docid: 158671
negative_passages.text: Cardinality of a set that consists of all existing cardinalities
negative_passages.docid: 146952
negative_passages.text: When can I say that $\cup H_i$ is a group?
negative_passages.docid: 139025
negative_passages.text: Do all Groups have a representation?
negative_passages.docid: 139218
negative_passages.text: Is this group solvable?
negative_passages.docid: 111039
negative_passages.text: Word for “all the groups an item belongs to”?
negative_passages.docid: 153551
negative_passages.text: Is the null set a subset of every set?
negative_passages.docid: 10602
negative_passages.text: Monotone Union of subgroups being subgroup
negative_passages.docid: 80381
negative_passages.text: Groups with "few" subgroups
negative_passages.docid: 16056
negative_passages.text: Is empty set element of every set if it is subset of every set?