Test words, generic elements and almost primitivity

DOI10.2140/pjm.1999.190.277zbMath1009.20031OpenAlexW2038350708MaRDI QIDQ1568874

N. Delaunay

Publication date: 22 June 2000

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1999.190.277

zbMATH Keywords

endomorphismsfree productsautomorphismsfree groupstest elementsgeneric elementsalmost primitive elementstest rankstest words

Mathematics Subject Classification ID

Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Quasivarieties and varieties of groups (20E10)

Related Items (11)

Almost primitive elements of free nonassociative algebras of small ranks ⋮ Primitive and almost primitive elements of Schreier varieties ⋮ On Turner’s theorem and first-order theory ⋮ Products of test elements of free factors of a free group ⋮ Generic, almost primitive and test elements of free Lie algebras ⋮ Primitivity rank of elements of free algebras of Schreier varieties ⋮ Test Elements, Generic Elements and Almost Primitivity in Free Products ⋮ Test Ranks of Free Nilpotent Groups ⋮ Primitive, almost primitive, test, and \(\Delta\)-primitive elements of free algebras with the Nielsen-Schreier property ⋮ Describing free groups, Part II: Π⁰₄ hardness and no Σ₂⁰ basis ⋮ Tame almost primitive elements

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