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Ultima descărcare din IBN: 2022-10-01 17:03 |
SM ISO690:2012 NAGY, Gabor, VOJTĔCHOVSKÝ, Piotr. Computing with small quasigroups and loops
. In: Quasigroups and Related Systems, 2007, vol. 15, nr. 1(17), pp. 77-94. ISSN 1561-2848. |
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Quasigroups and Related Systems | ||||||
Volumul 15, Numărul 1(17) / 2007 / ISSN 1561-2848 | ||||||
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Pag. 77-94 | ||||||
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Rezumat | ||||||
This is a companion to our lectures GAP and loops, to be delivered at the Workshops
Loops 2007, Prague, Czech Republic. In the lectures we introduce the GAP [6] package
LOOPS [15], describe its capabilities, and explain in detail how to use it. In this paper
we rst outline the philosophy behind the package and its main features, and then we
focus on three particular computational problems: construction of loop isomorphisms,
classication of small Frattini Moufang loops of order 64, and the search for loops of
nilpotency class higher than two with an abelian inner mapping group.
In particular, this is not a user's manual for LOOPS, which can be downloaded from
the distribution website of LOOPS.
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Cuvinte-cheie loop, quasigroup, GAP, computation in nonassociative algebra, loop iso- morphism |
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