# On the solvability of commutative loops and their multiplication groups

Kari Myllylä; Markku Niemenmaa

Commentationes Mathematicae Universitatis Carolinae (1999)

- Volume: 40, Issue: 2, page 209-213
- ISSN: 0010-2628

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topMyllylä, Kari, and Niemenmaa, Markku. "On the solvability of commutative loops and their multiplication groups." Commentationes Mathematicae Universitatis Carolinae 40.2 (1999): 209-213. <http://eudml.org/doc/248436>.

@article{Myllylä1999,

abstract = {We investigate the situation when the inner mapping group of a commutative loop is of order $2p$, where $p=4t+3$ is a prime number, and we show that then the loop is solvable.},

author = {Myllylä, Kari, Niemenmaa, Markku},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {solvability; loop; group; solvability of finite groups; solvability of finite loops; finite commutative loops; inner mapping groups},

language = {eng},

number = {2},

pages = {209-213},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {On the solvability of commutative loops and their multiplication groups},

url = {http://eudml.org/doc/248436},

volume = {40},

year = {1999},

}

TY - JOUR

AU - Myllylä, Kari

AU - Niemenmaa, Markku

TI - On the solvability of commutative loops and their multiplication groups

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1999

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 40

IS - 2

SP - 209

EP - 213

AB - We investigate the situation when the inner mapping group of a commutative loop is of order $2p$, where $p=4t+3$ is a prime number, and we show that then the loop is solvable.

LA - eng

KW - solvability; loop; group; solvability of finite groups; solvability of finite loops; finite commutative loops; inner mapping groups

UR - http://eudml.org/doc/248436

ER -

## References

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