On p-central groups

2012/09/16 by Jezernik, Urban
#20D15 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1209.3467

Abstract

We extend the notion of free p-central groups for odd primes p to the case p=2 by introducing a variant of the lower p-central series. This enables us to calculate Schur multipliers of free p-central groups. We also prove that for any p-central group the exponent of its Schur multiplier divides the exponent of the group, and determine its exponential rank.

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