Engulfing in word-hyperbolic groups.
Niblo, G.A., Williams, B.T. (2002)
Algebraic & Geometric Topology
Similarity:
Displaying similar documents to “On the maximum and minimum chain conditions for the 'largeness' ordering on the class of groups.”
Engulfing in word-hyperbolic groups.
On -normally embedded subgroups of finite soluble groups
A. Ballester-Bolinches, M. C. Pedraza-Aguilera, M. D. Pérez-Ramos (1996)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Groups with complete lattice of nearly normal subgroups.
Maria De Falco, Carmela Musella (2002)
Revista Matemática Complutense
Similarity:
A subgroup H of a group G is said to be nearly normal in G if it has finite index in its normal closure in G. A well-known theorem of B.H. Neumann states that every subgroup of a group G is nearly normal if and only if the commutator subgroup G' is finite. In this article, groups in which the intersection and the join of each system of nearly normal subgroups are likewise nearly normal are considered, and some sufficient conditions for such groups to be finite-by-abelian are given. ...
The formation generated by a finite group
Roger M. Bryant, Paul D. Foy (1995)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
On some soluble groups in which -subgroups form a lattice
Leonid A. Kurdachenko, Igor Ya. Subbotin (2007)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
The article is dedicated to groups in which the set of abnormal and normal subgroups (-subgroups) forms a lattice. A complete description of these groups under the additional restriction that every counternormal subgroup is abnormal is obtained.
Solvable groups with many BFC-subgroups.
O. D. Artemovych (2000)
Publicacions Matemàtiques
Similarity:
We characterize the solvable groups without infinite properly ascending chains of non-BFC subgroups and prove that a non-BFC group with a descending chain whose factors are finite or abelian is a Cernikov group or has an infinite properly descending chain of non-BFC subgroups.
On hypercentral subgroups of infinite groups
Francesco de Giovanni, Alessio Russo (2002)
Mathematica Slovaca
Similarity:
On some properties of pronormal subgroups
Leonid Kurdachenko, Alexsandr Pypka, Igor Subbotin (2010)
Open Mathematics
Similarity:
New results on tight connections among pronormal, abnormal and contranormal subgroups of a group have been established. In particular, new characteristics of pronormal and abnormal subgroups have been obtained.