Subgroups of large finite groups and the linear optimization problem

DOI10.1007/BF01979012zbMath0631.20008MaRDI QIDQ1094530

N. P. Mazurova

Publication date: 1986

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187357

zbMATH Keywords

linear programmingpermutation representationscharacter tablecomplex irreducible characterspseudo-permutation characterssimple sporadic groupssimplex-methodsubgroups of minimal index

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Simple groups: sporadic groups (20D08) Integral representations of finite groups (20C10) Finite simple groups and their classification (20D05) Software, source code, etc. for problems pertaining to group theory (20-04)

Related Items (4)

Wide subgroups of some sporadic groups ⋮ Minimal permutation representation of the simple group \(F_ 5\) ⋮ A minimal permutation representation of the finite simple Janko group \(J_ 4\) ⋮ Minimal permutation representation of Thompson's simple group

Cites Work

• Large subgroups of the simple group \(F_ 2\)
• A new finite simple group of order 86,775,571,046,077,562,880 which possesses \(M_{24}\) and the full covering group of \(M_{22}\) as subgroups
• A Simple Subgroup of M ? and E ₈ (3)

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