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- W2731506091 abstract "We investigate loops defined upon the product $Bbb Z_mtimes Bbb Z_k$ by the formula $(a,i)(b,j) = ((a+b)/(1+tf^i(0)f^j(0)), i + j)$, where $f(x) = (sx + 1)/(tx+1)$, for appropriate parameters $s,t in Bbb Z_m^*$. Each such loop is coupled to a 2-cocycle (in the group-theoretical sense) and this connection makes it possible to prove that the loop possesses a metacyclic inner mapping group. If $s=1$, then the loop is an A-loop. Questions of isotopism and isomorphism are considered in detail." @default.
- W2731506091 created "2017-07-14" @default.
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- W2731506091 date "2008-01-01" @default.
- W2731506091 modified "2023-09-23" @default.
- W2731506091 title "A class of commutative loops with metacyclic inner mapping groups" @default.
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