Results 31 to 40 of about 49,568 (240)
The solvability of groups with nilpotent minimal coverings [PDF]
, 2014 A covering of a group is a finite set of proper subgroups whose union is the whole group. A covering is minimal if there is no covering of smaller cardinality, and it is nilpotent if all its members are nilpotent subgroups. We complete a proof that every
Blyth, Russell D. +2 more
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The t-Fibonacci sequences in the 2-generator p-groups of nilpotency class 2 [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this paper, we consider the 2-generator p-groups of nilpotency class 2. We will discuss the lengths of the periods of the t-Fibonacci sequences in these groups.
Elahe Mehraban +2 more
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Pseudocomplete nilpotent groups [PDF]
Proceedings of the American Mathematical Society, 1983 Semicomplete nilpotent groups, that is, nilpotent groups with no outer automorphisms, have been of interest for many years. In this paper pseudocomplete nilpotent groups, that is, nilpotent groups in which the automorphism group and the inner automorphism group are isomorphic (not equal), are constructed.
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On almost finitely generated nilpotent groups
International Journal of Mathematics and Mathematical Sciences, 1996 A nilpotent group G is fgp if Gp, is finitely generated (fg) as a p-local group for all primes p; it is fg-like if there exists a nilpotent fg group H such that Gp≃Hp for all primes p.
Peter Hilton, Robert Militello
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On some groups whose subnormal subgroups are contranormal-free [PDF]
International Journal of Group TheoryIf $G$ is a group, a subgroup $H$ of $G$ is said to be contranormal in $G$ if $H^G = G$, where $H^G$ is the normal closure of $H$ in $G$. We say that a group is contranormal-free if it does not contain proper contranormal subgroups.
Leonid Kurdachenko +2 more
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Quiver Theories for Moduli Spaces of Classical Group Nilpotent Orbits [PDF]
, 2016 We approach the topic of Classical group nilpotent orbits from the perspective of their moduli spaces, described in terms of Hilbert series and generating functions.
Hanany, Amihay, Kalveks, Rudolph
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Quiver theories and formulae for nilpotent orbits of Exceptional algebras
Journal of High Energy Physics, 2017 We treat the topic of the closures of the nilpotent orbits of the Lie algebras of Exceptional groups through their descriptions as moduli spaces, in terms of Hilbert series and the highest weight generating functions for their representation content.
Amihay Hanany, Rudolph Kalveks
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Some Residual Properties of Finite Rank Groups
Моделирование и анализ информационных систем, 2014 The generalization of one classical Seksenbaev theorem for polycyclic groups is obtained. Seksenbaev proved that if G is a polycyclic group which is residually finite p-group for infinitely many primes p, it is nilpotent. Recall that a group G is said to
D. N. Azarov
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Nilpotent groups and their generalizations [PDF]
Transactions of the American Mathematical Society, 1940 Nilpotent finite groups may be defined by a great number of properties. Of these the following three may be mentioned, since they will play an important part in this investigation. (1) The group is swept out by its ascending central chain (equals its hypercentral). (2) The group is a direct product of p-groups (that is, of its primary components).
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Finite p′-nilpotent groups. II
International Journal of Mathematics and Mathematical Sciences, 1987 In this paper we continue the study of finite p′-nilpotent groups that was started in the first part of this paper. Here we give a complete characterization of all finite groups that are not p′-nilpotent but all of whose proper subgroups are p′-nilpotent.
S. Srinivasan
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