Binzhou Xia

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math.GR2024

The Exact Factorizations of Almost Simple Groups

Cai Heng Li, Lei Wang, Binzhou Xia

This paper presents a classification of exact factorizations of almost simple groups, which has been a long-standing open problem initiated around 1980 by the work of Wiegold-Willi…

math.GR2024

A complete classification of shuffle groups

Binzhou Xia, Junyang Zhang, Zhishuo Zhang +1

For positive integers $k$ and $n$ , the shuffle group $G_{k, k n}$ is generated by the $k!$ permutations of a deck of $k n$ cards performed by cutting the deck into $k$ piles with $n$ …

math.GR2024

Graphical regular representations of $(2, p)$ -generated groups

Binzhou Xia

For groups $G$ that can be generated by an involution and an element of odd prime order, this paper gives a sufficient condition for a certain Cayley graph of $G$ to be a graphical…

The Exact Factorizations of Almost Simple Groups

A complete classification of shuffle groups

Graphical regular representations of (2,p)-generated groups

Graphical regular representations of $(2, p)$ -generated groups