On the replacement property for PSL(2, p )

DOI10.1080/00927872.2021.1933999OpenAlexW3170122491MaRDI QIDQ5160040

Baran Zadeoğlu, David Cueto Noval, Aidan A. Lorenz

Publication date: 28 October 2021

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

Full work available at URL: https://arxiv.org/abs/1908.06511

zbMATH Keywords

finite groupsexchange lemmaminimal generating setsreplacement propertyminimax setsPSL\((2, p)\)

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Generators, relations, and presentations of groups (20F05)

Uses Software

• GAP

Cites Work

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• Generating sequences of \(\mathrm{PSL}(2,p)\).
• An interpolation theorem for irredundant bases of closure structures
• Independent generating sets and geometries for symmetric groups
• Intersections of maximal subgroups in simple groups of order less than 10⁶
• The minimal generating sets of of size four

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