Finding central decompositions of p-groups

DOI10.1515/JGT.2009.015zbMath1207.20011arXiv0801.3434MaRDI QIDQ3401155

James B. Wilson

Publication date: 29 January 2010

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.3434

zbMATH Keywords

algorithmsfinite \(p\)-groupsbilinear mapscentral products*-algebras\(p\)-groups of class \(2\)fully refined central decompositions

Mathematics Subject Classification ID

Analysis of algorithms (68W40) Finite nilpotent groups, (p)-groups (20D15) Jordan structures associated with other structures (17C50) Products of subgroups of abstract finite groups (20D40)

Related Items (10)

Algorithms for Group Isomorphism via Group Extensions and Cohomology ⋮ On isomorphism testing of groups with normal Hall subgroups ⋮ Optimal algorithms of Gram-Schmidt type ⋮ Group-theoretic generalisations of vertex and edge connectivities ⋮ Computing isometry groups of Hermitian maps ⋮ Algorithms Based on *-Algebras, and Their Applications to Isomorphism of Polynomials with One Secret, Group Isomorphism, and Polynomial Identity Testing ⋮ A fast isomorphism test for groups whose Lie algebra has genus 2 ⋮ Finite-dimensional nilpotent Lie algebras of class two and alternating bilinear maps ⋮ From Independent Sets and Vertex Colorings to Isotropic Spaces and Isotropic Decompositions: Another Bridge between Graphs and Alternating Matrix Spaces ⋮ Testing isomorphism of graded algebras

Cites Work

• Testing isomorphism of modules.
• INVOLUTIONS AND ANTI-AUTOMORPHISMS OF ALGEBRAS
• Groups with Abelian Central Quotient Group

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