Some Supersolvability Conditions for Finite Groups

DOI10.3318/PRIA.2006.106.2.163zbMath1148.20010OpenAlexW2044735209MaRDI QIDQ5449306

Fran Barry, Á. Ní Shé, Desmond MacHale

Publication date: 11 March 2008

Published in: Mathematical Proceedings of the Royal Irish Academy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3318/pria.2006.106.2.163

zbMATH Keywords

numbers of conjugacy classesfinite groupsautomorphismssupersolubilitygroups of odd orderconverse of Lagrange theoremCLT groupsdegrees of complex characters

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of abstract finite groups (20D45)

Related Items (24)

CLT-groups with Hall S-quasinormally embedded subgroups. ⋮ SUBGROUP NORMALITY DEGREES OF FINITE GROUPS II ⋮ THE PROBABILITY OF ZERO MULTIPLICATION IN FINITE RINGS ⋮ Finite Groups with Four Relative Commutativity Degrees ⋮ On the commuting probability and supersolvability of finite groups. ⋮ CLT-groups with normal or abnormal subgroups. ⋮ Supersolvability and nilpotency in terms of the commuting probability and the average character degree ⋮ Characterization and commuting probability of n-centralizer finite rings ⋮ On Hall subnormally embedded and generalized nilpotent groups. ⋮ Unnamed Item ⋮ Characterization of rings with nullity degree at least 1 4 ⋮ Largeness and equational probability in groups ⋮ On the nilpotent probability and supersolvability of finite groups ⋮ On some probabilistic aspects of (generalized) dicyclic groups ⋮ Subgroup normality degrees of finite groups. I. ⋮ Two results on the character degree sums ⋮ Some results on relative commutativity degree. ⋮ CLT-groups with normal or self-normalizing subgroups ⋮ Subgroups with large relative commutativity degree ⋮ Strong subgroup commutativity degree and some recent problems on the commuting probabilities of elements and subgroups ⋮ Finite groups with five relative commutativity degrees ⋮ On the Order of the Automorphism Group of a Finite Group ⋮ The probability that the multiplication of two ring elements is zero ⋮ A Note on CLT-Groups

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