Finite Groups Which Factor as Product of an Alternating Group and a Symmetric Group

DOI10.1081/AGB-120027919zbMath1068.20025OpenAlexW2065780801MaRDI QIDQ3154480

Mohammad-Reza Darafsheh

Publication date: 14 January 2005

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-120027919

zbMATH Keywords

symmetric groupsfinite simple groupsalternating groupsfactorizations

Mathematics Subject Classification ID

Finite simple groups and their classification (20D05) Symmetric groups (20B30) Products of subgroups of abstract finite groups (20D40)

Related Items (2)

Quasiprimitive groups containing a transitive alternating group ⋮ Classifying bicrossed products of Hopf algebras.

Cites Work

• On finite factorizable groups
• Products of simple groups and symmetric groups
• Factorizations of finite groups
• On the maximal subgroups of the finite classical groups
• Factorizations of the sporadic simple groups
• Factorizations of the groups of Lie type of Lie rank 1 or 2
• Products of groups with finite rank
• The factorizations of the finite exceptional groups of Lie type
• Groups which are the products of simple groups
• Non-simple groups which are the product of simple groups
• Über die kleine Reidemeisterbedingung. II
• The factorisation of the alternating and symmetric groups
• Products of \(A_5\) and a finite simple group
• The faithful linear representations of least degree of \(S_n\) and \(A_n\) over a field of characteristic 2.
• The faithful linear representations of least degree of \(S_n\) and \(A_n\) over a field of odd characteristic
• Factorization of groups involving symmetric and alternating groups.
• \(k\)-homogeneous groups

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