Using a result of de Smit and Lenstra, we prove that the order of a group containing nontrivial Gassmann equivalent subgroups must be divisible by at least five primes, not necessarily distinct. We then investigate the existence of Gassmann equivalent subgroups in groups with order divisible by exactly five primes.
Robert Perlis, LSU Department of Mathematics firstname.lastname@example.org
"On the Order of a Group Containing Nontrivial Gassmann Equivalent Subgroups,"
Rose-Hulman Undergraduate Mathematics Journal: Vol. 10
, Article 4.
Available at: https://scholar.rose-hulman.edu/rhumj/vol10/iss1/4