IBIS soluble linear groups

DOI10.1080/00927872.2023.2242949arXiv2212.13219OpenAlexW4385753733MaRDI QIDQ6178433

Dmitry Malinin, Andrea Lucchini

Publication date: 18 January 2024

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

Full work available at URL: https://arxiv.org/abs/2212.13219

zbMATH Keywords

soluble groupsnilpotent groupsIBIS groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Primitive groups (20B15)

Cites Work

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• Base sizes for sporadic simple groups.
• The existence of regular orbits for nilpotent groups
• On the minimal degree of a primitive permutation group
• The Magma algebra system. I: The user language
• On representing finite lattices as intervals in subgroup lattices of finite groups
• Bases for permutation groups and matroids
• Primitive permutation IBIS groups
• Regular orbits of finite primitive solvable groups, the final classification
• Regular orbits of finite primitive solvable groups. III
• Every coprime linear group admits a base of size two
• On base sizes for symmetric groups
• Base sizes for simple groups and a conjecture of Cameron
• The Minimal Base Size of Primitive Solvable Permutation Groups
• On base sizes for actions of finite classical groups
• A classification of finite primitive IBIS groups with alternating socle

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