Search results for "Hall subgroup"

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ARITHMETICAL QUESTIONS IN π-SEPARABLE GROUPS

2005

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).

CombinatoricsSet (abstract data type)Hall subgroupPure mathematicsNilpotentAlgebra and Number TheorySubgroupGroup (mathematics)Arithmetic functionMathematicsSeparable spaceCommunications in Algebra
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