Results 1 to 10 of about 1,915 (136)

Graph products of groups [PDF]

, 1990
In the 1970's Baudisch introduced the idea of the semifree group, that is, a group in which the only relators are commutators of generators. Baudisch was mainly concerned with subgroup problems, employing length arguments on the elements of these groups.
Green, E.R, Green, Elisabeth Ruth
core  

Nilpotent and abelian Hall subgroups in finite groups [PDF]

, 2016
First published in Transactions of the American Mathematical Society in volume 368 and number 4, APR 2016, published by the American Mathematical Society[EN] We give a characterization of the finite groups having nilpotent or abelian Hall pi-subgroups ...
Malle, Gunter, Tiep, Pham Huu, Beltran, Antonio, Moreto Quintana, Alexander, Felipe Román, María Josefa, Navarro Ortega, Gabriel, Solomon, Ronald, Sanus Vitoria, Lucia   +7 more
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On groups of automorphisms of nilpotent $p$-groups of finite rank [PDF]

, 2020
summary:Let $\alpha $ and $\beta $ be automorphisms of a nilpotent $p$-group $G$ of finite rank. Suppose that $\langle (\alpha \beta (g))(\beta \alpha (g))^{-1}\colon g\in G\rangle $ is a finite cyclic subgroup of $G$, then, exclusively, one of the ...
Liu, Heguo, Xu, Tao
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Coprime invariable generation and minimal-exponent groups

, 2015
Colva Roney-Dougal acknowledges the support of EPSRC grant EP/I03582X/1.A finite group G is coprimely invariably generated if there exists a set of generators {g1,. .,gu} of G with the property that the orders |g1|,.
Lucchini, Andrea, Detomi, Eloisa, Roney-Dougal, C.M., DETOMI, ELOISA MICHELA, Colva M. Roney Dougal   +4 more
core   +1 more source

Normal automorphisms of relatively hyperbolic groups

, 2010
An automorphism of a group G is normal if it fixes every normal subgroup of G setwise. We give an algebraic description of normal automorphisms of relatively hyperbolic groups.
D. Osin, Osin, Denis, Minasyan, Ashot, A. Minasyan   +3 more
core   +1 more source

Operators of finite rank in unitary representations of exponential Lie groups

, 1982
Poguntke D. Operators of finite rank in unitary representations of exponential Lie groups. Mathematische Annalen.
Poguntke, Detlev
core   +1 more source

The NILPOTENT Characterization of the finite neutrosophic p-groups

, 2022
A well known and referenced global result is the nilpotent characterisation of the finite p-groups. This un doubtedly transends into neutrosophy. Hence, this fact of the neutrosophic nilpotent p-groups is worth critical studying and comprehensive ...
Adebisi, S. A., Smarandache, Florentin
core   +1 more source

Graphs encoding properties of finite groups [PDF]

, 2022
This thesis is about graphs associated with finite groups. After a review of some of them, we find the best bound for the diameter of the non-nilpotent graph.
Nemmi, Daniele
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Applications of Lie methods to computations with polycyclic groups

, 2008
In this thesis we demonstrate the algorithmic usefulness of the so-called Mal'cev correspondence for computations with infinite polycyclic groups.
Assmann, Björn
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On locally finite groups factorized by locally nilpotent subgroups

, 1996
The structure of a periodic radical group G = AB, factorized by two locally nilpotent subgroups A and B, is investigated. In particular, many theorems already known for finite produts of nilpotent groups are extended to the case of periodic radical ...
DE GIOVANNI, FRANCESCO, SYSAK Y. P., Franciosi, Silvana, Sysak, Yaroslav P., FRANCIOSI, SILVANA BARBARA   +4 more
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