Cosets of Sylow \(p\)-subgroups and a question of Richard Taylor.

DOI10.1016/j.jalgebra.2013.08.010zbMath1300.20026arXiv1208.5283OpenAlexW2087327882MaRDI QIDQ401758

J. Herrera, H. S. Yoon

Publication date: 27 August 2014

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

Full work available at URL: https://arxiv.org/abs/1208.5283

zbMATH Keywords

finite simple groupsSylow subgroupscosetsGalois representationselement orders

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Galois representations (11F80) Simple groups: alternating groups and groups of Lie type (20D06) Galois cohomology (11R34)

Related Items

Adequate subgroups II, Coprime commutators in \(\mathrm{PSL}(2,q)\)., Intersecting two classical groups., Order of products of elements in finite groups, Nonisomorphic curves that become isomorphic over extensions of coprime degrees, Answer to a 1962 question by Zappa on cosets of Sylow subgroups

Uses Software

• Magma

Cites Work

• A criterion for an element to belong to a given Sylow p-subgroup. I
• A criterion for an element to belong to a given Sylow p-subgroup. II
• The Magma algebra system. I: The user language
• Adequate groups of low degree
• On a question of L. J. Pagige
• Adequate subgroups II
• On the automorphy of l-adic Galois representations with small residual image With an appendix by Robert Guralnick, Florian Herzig, Richard Taylor and Jack Thorne
• Quasirandom Groups
• Number of Points of Varieties in Finite Fields