The classical identities between the q-binomial coefficients and factorials can be generalized to a context in which numbers are replaced by braids. More precisely, for every pair i, n of natural numbers, there is defined an element b ลฝ n. of the braid i group algebra kB , and these satisfy analogs
โฆ LIBER โฆ
Permutation binomials and their groups
โ Scribed by N. N. Vasilev; M. A. Rybalkin
- Book ID
- 106436606
- Publisher
- Springer US
- Year
- 2011
- Tongue
- English
- Weight
- 294 KB
- Volume
- 179
- Category
- Article
- ISSN
- 1573-8795
No coin nor oath required. For personal study only.
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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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