Schur's exponent conjecture - counterexamples of exponent $5$ and exponent $9$

DOI10.22108/ijgt.2020.123980.1638zbMath1491.20046arXiv2008.06848OpenAlexW3165623819MaRDI QIDQ5854517

Michael Vaughan-Lee

Publication date: 17 March 2021

Full work available at URL: https://arxiv.org/abs/2008.06848

zbMATH Keywords

finite groupSylow subgroupabnormal subgroupseminormal subgroup

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Products of subgroups of abstract finite groups (20D40)

Related Items (3)

A property of \(p\)-groups of nilpotency class \(p + 1\) related to a theorem of Schur ⋮ Computational group theory. Abstracts from the workshop held August 15--21, 2021 (hybrid meeting) ⋮ On Schur's exponent property and its relation to Noether's Rationality problem

Uses Software

• Magma

Cites Work

• A nilpotent quotient algorithm for graded Lie rings
• The Magma algebra system. I: The user language
• SOME REMARKS ON VARIETIES OF GROUPS
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• Unnamed Item

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