Geodesic
On finite commutative IP-loops with elementary abelian inner mapping groups of order $p^4$
Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 4, pp. 559-563

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MR Zbl
We show that finite commutative inverse property loops with elementary abelian inner mapping groups of order $p^4$ are centrally nilpotent of class at most two.
We show that finite commutative inverse property loops with elementary abelian inner mapping groups of order $p^4$ are centrally nilpotent of class at most two.
Classification : 20D10, 20K01, 20N05
Keywords: loop; inner mapping group 
Niemenmaa, Markku. On finite commutative IP-loops with elementary abelian inner mapping groups of order $p^4$. Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 4, pp. 559-563. http://geodesic.mathdoc.fr/item/CMUC_2010_51_4_a1/
@article{CMUC_2010_51_4_a1,
     author = {Niemenmaa, Markku},
     title = {On finite commutative {IP-loops} with elementary abelian inner mapping groups of order $p^4$},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {559--563},
     year = {2010},
     volume = {51},
     number = {4},
     mrnumber = {2858260},
     zbl = {1211.20065},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2010_51_4_a1/}
}
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