An involution on derangements
نویسندگان
چکیده
منابع مشابه
An identity of derangements
In this note, we present a new identity for derangements. As a corrolary, we have a combinatorial proof of the irreducibility of the standard representation of symmetric groups.
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These are notes from my lectures at the Pretty Structures conference at the Institut Henri Poincaré in Paris, in early May 2011. I had planned to give three talks about derangements; but in the event, the third lecture was devoted to the topic of synchronization, and as a result some of this material was not covered in the talks. A general reference on permutation groups is my book [2]. Notes o...
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متن کاملOn centralizers of prime rings with involution
Let $R$ be a ring with involution $*$. An additive mapping $T:Rto R$ is called a left(respectively right) centralizer if $T(xy)=T(x)y$ (respectively $T(xy)=xT(y)$) for all $x,yin R$. The purpose of this paper is to examine the commutativity of prime rings with involution satisfying certain identities involving left centralizers.
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2001
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(00)00310-1