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

Source

Journal of Algebra

Type

Journal article

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