Density of indecomposable locally finite groups
Rendiconti del Seminario Matematico della Università di Padova, Tome 144 (2020), pp. 253-270.
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We prove that for any locally finite group there is an extension of the same cardinality which is indecomposable for almost all regular cardinals smaller than its cardinality. Note that a group G is called θ-indecomposable when for every increasing sequence 〈G i :i<θ〉 of subgroups with union G there is i<θ such that G=G i .

Publié le :
DOI : 10.4171/rsmup/68
Classification : 20, 03 
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     author = {Shelah, Saharon},
     title = {Density of indecomposable locally finite groups},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {253--270},
     volume = {144},
     year = {2020},
     doi = {10.4171/rsmup/68},
     mrnumber = {4186458},
     zbl = {1511.20007},
     language = {en},
     url = {http://archive.numdam.org/articles/10.4171/rsmup/68/}
}
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Shelah, Saharon. Density of indecomposable locally finite groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 144 (2020), pp. 253-270. doi : 10.4171/rsmup/68. http://archive.numdam.org/articles/10.4171/rsmup/68/

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