Minimal presentations for groups of order 2n, n ≤ 6

DOI10.1017/S1446788700028810zbMath0267.20028MaRDI QIDQ5685290

J. W. Wamsley, T. W. Sag

Publication date: 1973

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

General structure theorems for groups (20E34) Generators, relations, and presentations of groups (20F05)

Related Items (12)

Minimal Euler characteristics for even-dimensional manifolds with finite fundamental group ⋮ Deficiency zero non-metacyclic \(p\)-groups of order less than 1000. ⋮ Determination of all imaginary quadratic fields for which their Hilbert 2-class fields have 2-class groups of rank 2 ⋮ Imaginary quadratic fields \(k\) with cyclic \(\text{Cl}_2(k^1)\) ⋮ On equality of central and class preserving automorphisms of finite \(p\)-groups. ⋮ Finite groups with specific number of cyclic subgroups ⋮ The computation of $\mathrm{Gal}(k^\infty /k)$ for some complex quadratic number fields $k$ ⋮ The groups of order 128 ⋮ Maximal unramified extensions of imaginary quadratic number fields of small conductors ⋮ Maximal unramified extensions of imaginary quadratic number fields of small conductors ⋮ Commuting automorphisms of finite 2-groups of almost maximal class, II ⋮ Class-preserving automorphisms of some finite \(p\)-groups.

Cites Work

• A Contribution to the Theory of Groups of Prime-Power Order

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