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Groups of Loops and Hoops

✍ Scribed by Pablo Spallanzani

Publisher
Springer
Year
2001
Tongue
English
Weight
98 KB
Volume
216
Category
Article
ISSN
0010-3616

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A G-loop is a loop which is isomorphic to all its loop isotopes. We apply some theorems about permutation groups to get information about G-loops. In particular, we study G-loops of order pq, where p < q are primes and p q -1 . In the case p = 3, the only G-loop of order 3q is the group of order 3q.

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