Quasibases for nonseparable -groups
Rendiconti del Seminario Matematico della Università di Padova, Tome 144 (2020), pp. 197-215.
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This paper is an extension of the work developed in [4] on quasibases of abelian -groups and based on the doctoral dissertation ofAndrija Vodopivec [5].We introduce the ideas of a -combination and height of an inductive quasibasis and show that the height of a quasibasis is invariant for related inductive quasibases. Moreover, an abelian -group is separable if and only if the heights of all -combinations are zero. Finally, we show that an abelian -group is not reduced if and only if there exists a -combination with infinite height.
@article{RSMUP_2020__144__197_0, author = {Mutzbauer, Otto and Toubassi, Elias and Vodopivec, Andrija}, title = {Quasibases for nonseparable $p$-groups}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {197--215}, volume = {144}, year = {2020}, doi = {10.4171/rsmup/65}, mrnumber = {4186455}, zbl = {1507.20027}, language = {en}, url = {http://www.numdam.org/articles/10.4171/rsmup/65/} }
TY - JOUR AU - Mutzbauer, Otto AU - Toubassi, Elias AU - Vodopivec, Andrija TI - Quasibases for nonseparable $p$-groups JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2020 SP - 197 EP - 215 VL - 144 UR - http://www.numdam.org/articles/10.4171/rsmup/65/ DO - 10.4171/rsmup/65 LA - en ID - RSMUP_2020__144__197_0 ER -
%0 Journal Article %A Mutzbauer, Otto %A Toubassi, Elias %A Vodopivec, Andrija %T Quasibases for nonseparable $p$-groups %J Rendiconti del Seminario Matematico della Università di Padova %D 2020 %P 197-215 %V 144 %U http://www.numdam.org/articles/10.4171/rsmup/65/ %R 10.4171/rsmup/65 %G en %F RSMUP_2020__144__197_0
Mutzbauer, Otto; Toubassi, Elias; Vodopivec, Andrija. Quasibases for nonseparable $p$-groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 144 (2020), pp. 197-215. doi : 10.4171/rsmup/65. http://www.numdam.org/articles/10.4171/rsmup/65/
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