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- W2949744128 abstract "We continue the work by Aschbacher, Kinyon and Phillips [AKP] as well as of Glauberman [Glaub1,2] by describing the structure of the finite Bruck loops. We show essentially that a finite Bruck loop $X$ is the direct product of a Bruck loop of odd order with either a soluble Bruck loop of 2-power order or a product of loops related to the groups $PSL_2(q)$, $q= 9$ or $q geq 5$ a Fermat prime. The latter possibillity does occur as is shown in [Nag1, BS]. As corollaries we obtain versions of Sylow's, Lagrange's and Hall's Theorems for loops." @default.
- W2949744128 created "2019-06-27" @default.
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- W2949744128 date "2009-08-18" @default.
- W2949744128 modified "2023-09-27" @default.
- W2949744128 title "The finite Bruck Loops" @default.
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