No. |
Shorthand |
A subgroup of a group is termed a subgroup having a 1-closed transversal if ... |
A subgroup of a group is termed a subgroup having a 1-closed transversal if ...
|
1 |
left transversal that is 1-closed |
it has a left transversal that is a 1-closed subset, i.e., is a union of subgroups of |
there exists a subset such that intersects every left coset of in exactly one element, and is a union of subgroups of
|
2 |
right transversal that is 1-closed |
it has a left transversal that is a 1-closed subset, i.e., is a union of subgroups of |
there exists a subset such that intersects every right coset of in exactly one element, and is a union of subgroups of
|
3 |
left transversal + right transversal + 1-closed |
it has a left transversal that is also a right transversal and is also 1-closed |
there exists a subset such that intersects every left coset of in exactly one element, intersects every right coset of in exactly one element, and is a union of subgroups of
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