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Solvability Conditions for Loops and Groups

✍ Scribed by Piroska Csörgö; Markku Niemenmaa


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
68 KB
Volume
232
Category
Article
ISSN
0021-8693

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📜 SIMILAR VOLUMES


Solvable Groups and Loops
✍ Ari Vesanen 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 168 KB
G-Loops and Permutation Groups
✍ Kenneth Kunen 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 131 KB

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.