On the modular isomorphism problem for groups with center of index at most p³

2023/11/11 by Brenner, Sofia, García-Lucas, Diego · 1 citation
#16S34 #20C05 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2311.06666

Abstract

Let p be an odd prime number. We show that the modular isomorphism problem has a positive answer for finite p-groups whose center has index p³, which is a strong contrast to the analogous situation for p = 2.

Cited by

• The Modular Isomorphism Problem over all fields

Related

• On the modular isomorphism problem for groups of nilpotency class 2 with cyclic center
• The Modular Isomorphism Problem for small groups -- revisiting Eick's algorithm
• The Modular Isomorphism Problem over all fields
• Groups of prime-power order with a small second derived quotient
• On the Modular Isomorphism Problem for 2-generated groups with cyclic derived subgroup