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- W2897501630 abstract "Let $G$ be a finite group and let $H_1,H_2<G$ be two subgroups. In this paper, we are concerned with the bipartite graph whose vertices are $G/H_1cup G/H_2$ and a coset $g_1H_1$ is connected with another coset $g_2H_2$ if and only if $g_1H_1cap g_2 H_2neqvarnothing$. The main result of the paper establishes the existence of such graphs with large girth and large spectral gap. Lubotzky, Manning and Wilton use such graphs to construct certain infinite groups of interest in geometric group theory." @default.
- W2897501630 created "2018-10-26" @default.
- W2897501630 creator A5090834349 @default.
- W2897501630 date "2018-10-23" @default.
- W2897501630 modified "2023-09-27" @default.
- W2897501630 title "Expansion of coset graphs of PSL_2(F_p)." @default.
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