Existence, algorithms, and asymptotics of direct product decompositions, I

DOI10.1515/gcc-2012-0007zbMath1277.20022arXiv1005.0548OpenAlexW3104785372MaRDI QIDQ2905577

James B. Wilson

Publication date: 28 August 2012

Published in: Groups - Complexity - Cryptology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.0548

zbMATH Keywords

finite groupsdirect productsproducts of subgroupsdirect decompositionsgroup varietiesautomorphism invariant subgroupsgraded chief seriesRemak decompositions

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Automorphisms of abstract finite groups (20D45) Extensions, wreath products, and other compositions of groups (20E22) Products of subgroups of abstract finite groups (20D40)

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Algorithms for Group Isomorphism via Group Extensions and Cohomology ⋮ Space efficient representations of finite groups ⋮ Tensor products of coherent configurations ⋮ On automorphisms of groups, rings, and algebras ⋮ Compact data structures for Dedekind groups and finite rings ⋮ Enumerating alternating matrix spaces over finite fields with explicit coordinates ⋮ A fast isomorphism test for groups whose Lie algebra has genus 2 ⋮ Nearly linear time isomorphism algorithms for some nonabelian group classes ⋮ Enumerating isoclinism classes of semi-extraspecial groups ⋮ Disjoint direct product decompositions of permutation groups

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