AXIOMATISABILITY OF THE CLASS OF MONOLITHIC GROUPS IN A VARIETY OF NILPOTENT GROUPS

DOI10.1017/S0004972719001631zbMath1481.20097arXiv1911.11245WikidataQ126349428 ScholiaQ126349428MaRDI QIDQ3295177

Joshua T. Grice

Publication date: 8 July 2020

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.11245

zbMATH Keywords

nilpotent groupvariety of groupsmonolithic groupfinite axiomatisabilitysubdirectly irreducible group

Mathematics Subject Classification ID

Nilpotent groups (20F18) Finite nilpotent groups, (p)-groups (20D15) Congruence modularity, congruence distributivity (08B10) Quasivarieties and varieties of groups (20E10)

Cites Work

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• Definable principal subcongruences.
• Identical relations in finite groups
• Two Notes on Nilpotent Groups
• Subdirect unions in universal algebra

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