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- W3028826130 abstract "A partial difference set $S$ in a finite group $G$ satisfying $1 notin S$ and $S = S^{-1}$ corresponds to an undirected strongly regular Cayley graph ${rm Cay}(G,S)$. While the case when $G$ is abelian has been thoroughly studied, there are comparatively few results when $G$ is nonabelian. In this paper, we provide restrictions on the parameters of a partial difference set that apply to both abelian and nonabelian groups and are especially effective in groups with a nontrivial center. In particular, these results apply to $p$-groups, and we are able to rule out the existence of partial difference sets in many instances." @default.
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- W3028826130 date "2020-05-30" @default.
- W3028826130 modified "2023-09-23" @default.
- W3028826130 title "Restrictions on parameters of partial difference sets in nonabelian groups" @default.
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