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Journal of the London Mathematical Society, 2000
A group is called homogeneous if any isomorphism between two finitely generated subgroups is induced by some automorphism. In [J. Lond. Math. Soc., II. Ser. 44, No. 1, 102-120 (1991; Zbl 0789.20033)] the authors classified homogeneous finite solvable groups.
Cherlin, Gregory, Felgner, Ulrich
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A group is called homogeneous if any isomorphism between two finitely generated subgroups is induced by some automorphism. In [J. Lond. Math. Soc., II. Ser. 44, No. 1, 102-120 (1991; Zbl 0789.20033)] the authors classified homogeneous finite solvable groups.
Cherlin, Gregory, Felgner, Ulrich
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Finite Permutation Groups and Finite Simple Groups
Bulletin of the London Mathematical Society, 1981In the past two decades, there have been far-reaching developments in the problem of determining all finite non-abelian simple groups—so much so, that many people now believe that the solution to the problem is imminent. And now, as I correct these proofs in October 1980, the solution has just been announced.
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Siberian Mathematical Journal, 2007
Summary: We study the so-called finite tangled groups. These are the groups in which every subset containing 1 and closed under the operation \(x\circ y=xy^{-1}x\) is a subgroup. The general problem of studying such groups reduces to the case of tangled groups of odd order. We classify all finite nilpotent tangled groups.
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Summary: We study the so-called finite tangled groups. These are the groups in which every subset containing 1 and closed under the operation \(x\circ y=xy^{-1}x\) is a subgroup. The general problem of studying such groups reduces to the case of tangled groups of odd order. We classify all finite nilpotent tangled groups.
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Journal of Soviet Mathematics, 1989
The present survey has been composed mainly on the basis of works reviewed in the R. Zh. Mat. over the years 1976-1983 and is a continuation of the surveys published in the years 1966, 1971, 1976 in this series. The main attention is paid to finite simple groups and their classification. The bibliography contains 1566 references.
Kondrat'ev, A. S. +2 more
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The present survey has been composed mainly on the basis of works reviewed in the R. Zh. Mat. over the years 1976-1983 and is a continuation of the surveys published in the years 1966, 1971, 1976 in this series. The main attention is paid to finite simple groups and their classification. The bibliography contains 1566 references.
Kondrat'ev, A. S. +2 more
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Journal of Mathematical Sciences, 1998
The present survey is based mainly on papers presented over the years 1983-1992 and can be considered as a continuation of the corresponding sections of the surveys ``Finite groups'' published in the years 1966, 1971, 1976 and 1986 by different authors (1966; Zbl 0207.33302, 1971; Zbl 0224.20006, 1976; Zbl 0444.20011, 1986; Zbl 0632.20009).
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The present survey is based mainly on papers presented over the years 1983-1992 and can be considered as a continuation of the corresponding sections of the surveys ``Finite groups'' published in the years 1966, 1971, 1976 and 1986 by different authors (1966; Zbl 0207.33302, 1971; Zbl 0224.20006, 1976; Zbl 0444.20011, 1986; Zbl 0632.20009).
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Group weighted finite transducers
Acta Informatica, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ito, Masami +2 more
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Journal of the Australian Mathematical Society, 1969
Let p be a class of finite soluble groups which is closed under epimorphic images and let g be a saturated formation. Then if G is a group of minimal order belonging to p but not to g, F(G), the Fitting subgroup of G, is the unique minimal normal subgroup of G. It is to groups with this property that the following proposition is applicable.
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Let p be a class of finite soluble groups which is closed under epimorphic images and let g be a saturated formation. Then if G is a group of minimal order belonging to p but not to g, F(G), the Fitting subgroup of G, is the unique minimal normal subgroup of G. It is to groups with this property that the following proposition is applicable.
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