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RESEARCH PRODUCT
ARITHMETICAL QUESTIONS IN π-SEPARABLE GROUPS
J. MedinaM. J. IranzoF. Pérez Monasorsubject
CombinatoricsSet (abstract data type)Hall subgroupPure mathematicsNilpotentAlgebra and Number TheorySubgroupGroup (mathematics)Arithmetic functionMathematicsSeparable spacedescription
If G is a finite π-separable group, π a set of primes und X is a π-suhgroup of G, let vπ(G, X) be the number of Hall π-suhgroups of G containing X. If K is a subgroup of G containing X, we prove that vπ(K,X) divides vπ(G).
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-07-01 | Communications in Algebra |