Periagroups that are infinite and not virtually direct products contain contracting elements in their standard Cayley graphs, implying acylindrical hyperbolicity and transcendental conjugacy growth series.
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Contracting elements and conjugacy growth in Coxeter groups, graph products, and further groups
Periagroups that are infinite and not virtually direct products contain contracting elements in their standard Cayley graphs, implying acylindrical hyperbolicity and transcendental conjugacy growth series.