On the Structure of Groups Whose Non-normal Subgroups Are Core-Free
Sign Up to like & getrecommendations! Published in 2019 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-019-1427-6
Abstract: A subgroup H of a group G is called core-free if \({\mathbf{Core}}_{G}(H)=\bigcap \nolimits _{x\in G}H^{x}=\langle 1\rangle \). In the current article, we study the groups in which every subgroup is either normal or core-free. read more here.
Keywords: normal subgroups; non normal; structure groups; core free ... See more keywords
On distortion of normal subgroups
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DOI: 10.1007/s10711-020-00558-y
Abstract: We examine distortion of finitely generated normal subgroups. We show a connection between subgroup distortion and group divergence. We suggest a method computing the distortion of normal subgroups by decomposing the whole group into smaller… read more here.
Keywords: distortion; normal subgroups; cat; distortion normal ... See more keywords
Normal subgroups of the group of units of incidence algebras
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DOI: 10.1016/j.laa.2019.10.017
Abstract: Abstract We investigate the group of units of incidence algebras and its normal subgroups. This includes a detailed discussion of the structure and properties of maximal abelian, normal subgroups, and criteria for solvability and nilpotency. read more here.
Keywords: group units; normal subgroups; units incidence; incidence algebras ... See more keywords
Solvable normal subgroups of 2-knot groups
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DOI: 10.1142/s0218216517500663
Abstract: If X is an orientable, strongly minimal PD4-complex and π1(X) has one end, then it has no nontrivial locally finite normal subgroup. Hence, if π is a 2-knot group, then (a) if π is virtually… read more here.
Keywords: normal subgroups; subgroups knot; solvable normal; knot groups ... See more keywords
Normal subgroups in the group of column-finite infinite matrices
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DOI: 10.1515/jgth-2021-0122
Abstract: Abstract The classical result, due to Jordan, Burnside, Dickson, says that every normal subgroup of GL(n,K)\mathrm{GL}(n,K), where ???? is a field and n≥3n\geq 3, which is not contained in the center contains SL(n,K)\mathrm{SL}(n,K). Rosenberg described… read more here.
Keywords: normal subgroups; group column; group; column finite ... See more keywords
Normal Ω-subgroups
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DOI: 10.2298/fil1819699b
Abstract: Subgroups, congruences and normal subgroups are investigated for Ω-groups. These are latticevalued algebraic structures, defined on crisp algebras which are not necessarily groups, and in which the classical equality is replaced by a lattice-valued one.… read more here.
Keywords: normal subgroups; normal subgroup;
A Comprehensive Study on Pythagorean Fuzzy Normal Subgroups and Pythagorean Fuzzy Isomorphisms
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DOI: 10.3390/sym14102084
Abstract: The Pythagorean fuzzy set is an extension of the intuitionistic fuzzy set used to handle uncertain circumstances in various decisions making problems. Group theory is a mathematical technique for dealing with problems of symmetry. This… read more here.
Keywords: pythagorean fuzzy; fuzzy normal; fuzzy; normal subgroups ... See more keywords