Results 231 to 240 of about 164,822 (269)
Some of the next articles are maybe not open access.
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.
openaire +2 more sources
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.
openaire +2 more sources
Mathematische Nachrichten, 1993
AbstractThe structure of the finite Krutik‐groups is investigated. It is shown that they are solvable groups with very special properties.
Brandl, R., Deaconescu, M.
openaire +2 more sources
AbstractThe structure of the finite Krutik‐groups is investigated. It is shown that they are solvable groups with very special properties.
Brandl, R., Deaconescu, M.
openaire +2 more sources
ON AUTOMORPHISMS OF FINITE GROUPS
Mathematics of the USSR-Sbornik, 1974We consider orbits of elements of a finite group G with respect to the action on G of a cyclic automorphism group generated by . We obtain sufficient conditions for the existence of an orbit whose length is equal to the order of the automorphism . Namely, such an orbit exists for any automorphism of a semisimple or nilpotent finite group G and for an ...
openaire +1 more source
Proceedings of the Steklov Institute of Mathematics, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kondrat'ev, A. S., Khramtsov, I. V.
openaire +3 more sources
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kondrat'ev, A. S., Khramtsov, I. V.
openaire +3 more sources
On the Characters of Finite Groups
The Annals of Mathematics, 1955where each A is an irreducible character of some elementary subgroup (si of (M, ip* designates the character of (M induced by AXv , and where the ai belong to the ring Z of rational integers. Here, an elementary group is defined as a group which is the direct product of a cyclic group and a p-group for some prime number p. By a generalized character of
Brauer, Richard, Tate, John
openaire +2 more sources
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).
openaire +1 more source
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).
openaire +1 more source
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
openaire +2 more sources
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
openaire +2 more sources
Algebra universalis, 2005
Let \(G\) and \(H\) be groups such that the subgroup lattices of \(G^3=G\times G\times G\) and \(H^3=H\times H\times H\) are isomorphic. The question whether then \(G\) and \(H\) are isomorphic has been answered, in the negative, by the authors [J. Group Theory 7, No. 3, 385-402 (2004; Zbl 1071.20028)].
Kearnes, Keith A., Szendrei, Ágnes
openaire +1 more source
Let \(G\) and \(H\) be groups such that the subgroup lattices of \(G^3=G\times G\times G\) and \(H^3=H\times H\times H\) are isomorphic. The question whether then \(G\) and \(H\) are isomorphic has been answered, in the negative, by the authors [J. Group Theory 7, No. 3, 385-402 (2004; Zbl 1071.20028)].
Kearnes, Keith A., Szendrei, Ágnes
openaire +1 more source
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.
openaire +2 more sources
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.
openaire +2 more sources
On the injectors of finite groups
Journal of Group Theory, 2007All groups considered in the paper are finite. Let \(\pi\) be a set of primes and let \(\mathfrak F\) be a non-empty Fitting class. We denote by \(E^{\mathfrak N}_\pi\) the class of groups \(G\) such that \(G\) contains a nilpotent Hall \(\pi\)-subgroup.
Guo, Wenbin, Li, Baojun
openaire +1 more source