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- W2012121187 abstract "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 3 q is the group of order 3 q . The notion “ G -loop” splits naturally into “left G -loop” plus “right G -loop.” There exist non-group right G -loops and left G -loops of order n iff n is composite and n > 5." @default.
- W2012121187 created "2016-06-24" @default.
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- W2012121187 date "1999-10-01" @default.
- W2012121187 modified "2023-09-28" @default.
- W2012121187 title "G-Loops and Permutation Groups" @default.
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- W2012121187 doi "https://doi.org/10.1006/jabr.1999.8006" @default.
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