Results 11 to 20 of about 5,621,576 (372)
Automorphisms fixing every Normal Subgroup of a Nilpotent-by-abelian Group [PDF]
, 2007 Among other things, we prove that the group of automorphisms fixing every normal subgroup of a nilpotent-by-abelian group is nilpotent-by-metabelian. In particular, the group of automorphisms fixing every normal subgroup of a metabelian group is soluble ...
G. Endimioni
semanticscholar +5 more sources
A formula for the normal subgroup growth of Baumslag–Solitar groups [PDF]
, 2007 We give an exact formula for the number of normal subgroups of each finite index in the Baumslag–Solitar group BS(p, q) when p and q are coprime. Unlike the formula for all finite index subgroups, this one distinguishes different Baumslag–Solitar groups ...
J. Button
semanticscholar +3 more sources
Groups with Finitely Many Isomorphism Classes of Non-Normal Subgroups [PDF]
Advances in Group Theory and Applications, 2020 We study groups in which the non-normal subgroups fall into finitely many isomorphism classes. We prove that a locally generalized radical group with this property is abelian-by-finite and minimax.
Leonid A. Kurdachenko +2 more
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Self-normalizing Sylow subgroups [PDF]
Proceedings of the American Mathematical Society, 2003 Using the classification of finite simple groups we prove the following statement: Let p > 3 p>3 be a prime, Q Q a group of automorphisms of p p -power order of a finite group G G , and P P a Q Q -invariant Sylow
Guralnick, Robert M. +2 more
openaire +2 more sources
Normality in Uncountable Groups [PDF]
Advances in Group Theory and Applications, 2017 The main purpose of this paper is to describe the structure of uncountable groups of cardinality $\aleph$ in which all subgroups of cardinality $\aleph$ are normal.
Maria De Falco +3 more
doaj +1 more source
A sharply 2-transitive group without a non-trivial abelian normal subgroup [PDF]
, 2014 We show that any group $G$ is contained in some sharply 2-transitive group $\mathcal{G}$ without a non-trivial abelian normal subgroup. This answers a long-standing open question.
E. Rips, Yoav Segev, K. Tent
semanticscholar +1 more source
The normal subgroup structure of ZM-groups [PDF]
, 2014 The main goal of this note is to determine and to count the normal subgroups of a ZM-group. We also indicate some necessary and sufficient conditions such that the normal subgroups of a ZM-group form a chain.
M. Tărnăuceanu
semanticscholar +1 more source
Anti-Homomorphism in Q-Fuzzy Subgroups and Normal Subgroups
Ratio Mathematica, 2023 Many researchers have explored the fuzzy set extensively. We propose the notion of anti-homomorphism in Q is fuzzy subgroups and normal subgroups. It is establish some findings in this study article and build the theory of anti-homomorphism in Q-fuzzy ...
R Jahir Hussain, S Palaniyandi
doaj +1 more source
A Normal Subgroup Theorem for Commensurators of Lattices [PDF]
, 2013 We establish a general normal subgroup theorem for commensurators of lattices in locally compact groups. While the statement is completely elementary, its proof, which rests on the original strategy of Margulis in the case of higher rank lattices, relies
D. Creutz, Y. Shalom
semanticscholar +1 more source
Normal Subgroups Contained in the Frattini Subgroup [PDF]
Proceedings of the American Mathematical Society, 1972 Let H be a normal subgroup of the finite group G. If H has a subgroup K which is normal in G, satisfies | K | > | K ∩ Z 1 ( H ) | = p |K| &
Hill, W. Mack, Wright, Charles R. B.
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