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UID:3invg198e5bgut66jruh1kdpa0@google.com
CATEGORIES:{lang hu}Algebra szeminárium{/lang}{lang en}Algebra seminar{/lang}
SUMMARY:Erkko Lehtonen (Technische Universität Dresden): Reconstructibility of functions and minors of permutations
LOCATION:Bolyai Intézet, I. emelet, Riesz terem, Aradi Vértanúk tere 1., Szeged
DESCRIPTION;ENCODING=QUOTED-PRINTABLE:Abstract. Reconstruction problems concern whether a mathematical object can
be recovered from pieces of partial information about that object. We cons
ider the problem whether a function of several arguments is uniquely determ
ined, up to permutation of arguments, by the collection of its identificati
on minors. We survey some known results, and we focus on the class of funct
ions determined by the order of first occurrence.
In the analysis
of the above-mentioned class, we make use of minors of permutations, which
may be seen as quotients of permutations. We discuss some properties of min
ors of permutations. The minor relation constitutes a partial order on the
set of finite permutations, and it is particularly well behaving with respe
ct to permutation groups.
DTSTAMP:20240329T031136Z
DTSTART;TZID=Europe/Budapest:20170308T100000
DTEND;TZID=Europe/Budapest:20170308T120000
SEQUENCE:0
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