Results 81 to 90 of about 544 (187)
Metahamiltonian groups and related topics [PDF]
International Journal of Group Theory, 2013 A group is called metahamiltonian if all its non-abelian subgroups are normal. This aim of this paper is to provide an updated survey of researches concerning certain classes of generalized metahamiltonian groups, in various contexts, and to prove some ...
Maria De Falco +2 more
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Large abelian subgroups of Chevalley groups [PDF]
Journal of the Australian Mathematical Society, 1979 AbstractFor any group S let Ab(S) = {A∣A is an abelian subgroup of S of maximal order}. Let G be a Chevalley group of type An, Bn, Cn, or Dn over a finite field of characteristic p and let. In this paper Ab(U) is determined for all such groups.
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On Algebraic and Definable Closures for Theories of Abelian Groups
Известия Иркутского государственного университета: Серия "Математика"Classifying abelian groups and their elementary theories, a series of characteristics arises that describe certain features of the objects under consideration.
In.I. Pavlyuk
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Groups whose proper subgroups of infinite rank have polycyclic-by-finite conjugacy classes [PDF]
International Journal of Group Theory, 2016 A group G is said to be a (PF)C-group or to have polycyclic-by-finite conjugacy classes, if G/C_{G}(x^{G}) is a polycyclic-by-finite group for all xin G. This is a generalization of the familiar property of being an FC-group.
Mounia Bouchelaghem, Nadir Trabelsi
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Groups with minimax commutator subgroup [PDF]
International Journal of Group Theory, 2014 A result of Dixon, Evans and Smith shows that if $G$ is a locally (soluble-by-finite) group whose proper subgroups are (finite rank)-by-abelian, then $G$ itself has this property, i.e. the commutator subgroup of~$G$ has finite rank.
Francesco de Giovanni, Trombetti
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On isotype subgroups of abelian groups [PDF]
Bulletin de la Société mathématique de France, 1961 Irwin, John M., Walker, Elbert A.
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Symmetry, Integrability and Geometry: Methods and Applications, 2009 The discrete cocompact subgroups of the five-dimensional connected, simply connected nilpotent Lie groups are determined up to isomorphism. Moreover, we prove if G = N × A is a connected, simply connected, nilpotent Lie group with an Abelian factor A ...
Amira Ghorbel, Hatem Hamrouni
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Strongly Base-Two Groups. [PDF]
Vietnam J Math, 2023 Burness TC, Guralnick RM.
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Dihedral and Quaternion Autotopism Subgroups of Semifield Projective Planes of Order $p^4$
Известия Иркутского государственного университета: Серия "Математика"Dihedral and Quaternion Autotopism Subgroups of Semifield Projective Planes of Order $p^4$}In 1959, D.R.~Hughes conjecture that the full collineation group of any finite non-Desarguesian semifield projective plane is solvable (see also the question 11.76
O. V. Kravtsova, D. S. Skok
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Computing Homotopy Classes for Diagrams. [PDF]
Discrete Comput Geom, 2023 Filakovský M, Vokřínek L.
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