Double coset index of a subgroup: Difference between revisions
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* [[Subgroup of double coset index two]] | * [[Subgroup of double coset index two]] | ||
==Facts== | |||
* [[Double coset index two implies maximal]] | |||
* [[Bound on double coset index in terms of orders of group and subgroup]] | |||
* [[Index three implies normal or double coset index two]] | |||
* [[Index four implies 2-subnormal or double coset index two]] | |||
Latest revision as of 11:48, 3 September 2008
Definition
Symbol-free definition
The double coset index of a subgroup in a group is the cardinality of its double coset space, or equivalently, the number of double cosets the subgroup has.