0000000000388044

AUTHOR

F. Pérez Monasor

showing 4 related works from this author

A conjecture on the number of conjugacy classes in ap-solvable group

1996

IfG is ap-solvable group, it is conjectured that k(G/O P (G) ≤ |G| p ′. The conjecture is easily obtained for solvable groups as a consequence of R. Knorr’s work on the k(GV) problem. Also, a related result is obtained: k(G/F(G)) is bounded by the index of a nilpotent injector ofG.

CombinatoricsDiscrete mathematicsNilpotentConjugacy classConjectureSolvable groupGroup (mathematics)General MathematicsBounded functionAlgebra over a fieldMathematicsIsrael Journal of Mathematics
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Fitting classes ℱ such that all finite groups have ℱ-injectors

1986

Let ℱ be an homomorph and Fitting class such thatEzℱ=ℱ. In this paper we prove that if all ℱ-constrained groups have ℱ-injectors, then all groups have ℱ-injectors. In particular if ℱ is a class of quasinilpotent groups containing the nilpotent groups, then every group has ℱ-injectors.

Discrete mathematicsClass (set theory)NilpotentPure mathematicsGroup (mathematics)General MathematicsAlgebra over a fieldNilpotent groupMathematicsIsrael Journal of Mathematics
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A class of finite groups having nilpotent injectors

1986

AbstractThe purpose of this paper is to construct a class of groups which properly contains the class of N-constrained groups, and which is such that all groups in this class have N-injectors.

Discrete mathematicsPure mathematicsNilpotentClass (set theory)Group of Lie typeGeneral MedicineCA-groupCycle graph (algebra)Nilpotent groupMathematicsNon-abelian groupJournal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
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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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