Examples of non-FSZ p-groups for primes greater than three

2016/10/01 by Keilberg, Marc
#16T05 #18D10 #20D15 #20F99 #FOS: Mathematics #Group Theory (math.GR) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1610.00066

Abstract

For any prime p>3 and j∈ℕ we construct examples of non-FSZ_p^j groups of order p^pj+2j-1. In the special case of j=1 this yields groups of order p^p+1, which is the minimum possible order for a non-FSZ p-group.

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