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Groups of prime-power order with a small second derived quotient

Schneider, Csaba

Description

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

CollectionsANU Research Publications
Date published: 2003
Type: Journal article
URI: http://hdl.handle.net/1885/76941
Source: Journal of Algebra
DOI: 10.1016/S0021-8693(03)00294-1

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