Geodesic
The Group of Extensions and Splitting Length
Canadian journal of mathematics, Tome 26 (1974) no. 4, pp. 879-883

Voir la notice de l'article provenant de la source Cambridge University Press

This paper is concerned with the internal structure of Ext(Q, T) where Q is the group of rationals and T a reduced p-primary group of unbounded order. In [1] Irwin, Khabbaz, and Rayna define the splitting length of an arbitrary abelian group A, written l(A), to be the least positive integer n, otherwise infinity, such that A ⊗ . . . ⊗ A (n factors) splits. The concept of splitting length has been induced on Ext(Q, T), see [2; 5]. 
Toubassi, E. H. The Group of Extensions and Splitting Length. Canadian journal of mathematics, Tome 26 (1974) no. 4, pp. 879-883. doi: 10.4153/CJM-1974-082-7
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[1] 1. Irwin, J. M., Khabbaz, S. A., and G. Rayna, The role of the tensor product in the splitting of abelian groups, J. Algebra 14 (1970), 423–442. Google Scholar

[2] 2. Irwin, J. M., Khabbaz, S. A., and G. Rayna, Ona submodule of Ext, J. Algebra 19 (1971), 486–495. Google Scholar

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[5] 5. Toubassi, E. H., On the group of extensions, Acta. Math. Acad. Sci. Hung. 24 (1973), 87–92. Google Scholar

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