Intersections of maximal subgroups in prosolvable groups

DOI10.1080/00927872.2019.1566918zbMath1473.20035arXiv1703.03276OpenAlexW2748888463MaRDI QIDQ5384662

Iker de las Heras, Andrea Lucchini

Publication date: 24 June 2019

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.03276

zbMATH Keywords

prosolvable groupsmaximal intersections

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Limits, profinite groups (20E18)

Related Items (2)

A polynomial bound for the number of maximal systems of imprimitivity of a finite transitive permutation group ⋮ Maximal intersections in finite groups

Cites Work

• Unnamed Item
• Simple groups, maximal subgroups, and probabilistic aspects of profinite groups
• Pre-Frattini groups.
• A polynomial bound for the orders of primitive solvable groups
• Crowns and factorization of the probabilistic zeta function of a finite group.
• A Bound for the Number of Multiplicative Partitions
• Solvable and Nilpotent Subgroups of GL(n,q^m)
• Positively finitely generated groups
• Subgroups of solvable groups with non-zero Möbius function
• Classes of Finite Groups

This page was built for publication: Intersections of maximal subgroups in prosolvable groups