Tidy subgroups for commuting automorphisms of totally disconnected groups: An analogue of simultaneous triangularisation of matrices.
Willis, George A. (2004)
The New York Journal of Mathematics [electronic only]
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Displaying similar documents to “Grouptheoretical investigations on computers”
Tidy subgroups for commuting automorphisms of totally disconnected groups: An analogue of simultaneous triangularisation of matrices.
-systems of finite simple groups
C. David (1993)
Rendiconti del Seminario Matematico della Università di Padova
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Classification of finite groups with many minimal subgroups and with the number of conjugacy classes of G/S(G) equal to 8.
Antonio Vera López, Jesús María Arregi Lizarraga, Francisco José Vera López (1990)
Collectanea Mathematica
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In this paper we classify all the finite groups satisfying r(G/S(G))=8 and ß(G)=r(G) - a(G) - 1, where r(G) is the number of conjugacy classes of G, ß(G) is the number of minimal normal subgroups of G, S(G) the socle of G and a(G) the number of conjugacy classes of G out of S(G). These results are a contribution to the general problem of the classification of the finite groups according to the number of conjugacy classes.
Representing subgroups of finitely presented groups by quotient subgroups.
Hulpke, Alexander (2001)
Experimental Mathematics
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p-Isomorphisms of an abelian group of order .
G. Miller (1915)
Prace Matematyczno-Fizyczne
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Groups with finite automorphism classes of subgroups
John Lennox, Federico Menegazzo, Howard Smith, James Wiegold (1988)
Rendiconti del Seminario Matematico della Università di Padova
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On minimal logarithmic signatures of finite groups.
Lempken, Wolfgang, van Trung, Tran (2005)
Experimental Mathematics
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Finite groups with few conjugacy classes of subgroups
Rolf Brandl, Libero Verardi (1992)
Rendiconti del Seminario Matematico della Università di Padova
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Direct products with isomorphic lattices
Charles S. Holmes (1971)
Rendiconti del Seminario Matematico della Università di Padova
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Odd Automorphisms of Sylow 2-subgroups of sporadic simple groups.
Peter Rowley, Christopher Parker (1996)
Manuscripta mathematica
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Algorithms for permutability in finite groups
Adolfo Ballester-Bolinches, Enric Cosme-Llópez, Ramón Esteban-Romero (2013)
Open Mathematics
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In this paper we describe some algorithms to identify permutable and Sylow-permutable subgroups of finite groups, Dedekind and Iwasawa finite groups, and finite T-groups (groups in which normality is transitive), PT-groups (groups in which permutability is transitive), and PST-groups (groups in which Sylow permutability is transitive). These algorithms have been implemented in a package for the computer algebra system GAP.