Groups of prime-power order with a small second derived quotient
Date
2003
Authors
Schneider, Csaba
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Abstract
For odd primes we prove some structure theorems for finite p-groups G, such that G″ ≠ 1 and G′/G″ = p3. Building on results of Blackburn and Hall, it is shown that γ3(G) is a maximal subgroup of G′, the group G has a central decomposition into
Description
Keywords
Keywords: Derived subgroup; Finite p-groups; Second derived subgroup
Citation
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Source
Journal of Algebra
Type
Journal article