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- W2725655235 abstract "In this paper we consider finite loops and discuss the problem which nilpotent groups are isomorphic to the inner mapping group of a loop. We recall some earlier results and by using connected transversals we transform the problem into a group theoretical one. We will get some new answers as we show that a nilpotent group having either $C_{p^k} times C_{p^l}$, $k > l geq 0$ as the Sylow $p$-subgroup for some odd prime $p$ or the group of quaternions as the Sylow $2$-subgroup may not be loop capable." @default.
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- W2725655235 date "2010-01-01" @default.
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- W2725655235 title "On the structure of finite loop capable nilpotent groups" @default.
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