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 SM ISO690:2012HALL, Jonathan. Central automorphisms, Z*-theorems, and loop structure. In: Quasigroups and Related Systems, 2011, vol. 19, nr. 1(25), pp. 69-108. ISSN 1561-2848. |
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 Quasigroups and Related Systems |
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| Volumul 19, Numărul 1(25) / 2011 / ISSN 1561-2848 | ||||||
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| Pag. 69-108 | ||||||
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We discuss central automorphisms of partial linear spaces, particularly those with three points per line. When these automorphisms have order two and their products are restricted to have odd order, we are in the situation of Glauberman's Z-theorem.
This sheds light on the structure of various coordinatizing loops, particularly Bol and Moufang loops. |
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