Results 31 to 40 of about 250,418 (87)
Approximate groups and doubling metrics
, 2012 We develop a version of Freiman's theorem for a class of non-abelian groups, which includes finite nilpotent, supersolvable and solvable A-groups. To do this we have to replace the small doubling hypothesis with a stronger relative polynomial growth ...
Bray +7 more
core +1 more source
Bulletin of the London Mathematical Society, Volume 56, Issue 3, Page 1054-1070, March 2024.Abstract Let d$d$ be a positive integer. A finite group is called d$d$‐maximal if it can be generated by precisely d$d$ elements, whereas its proper subgroups have smaller generating sets. For d∈{1,2}$d\in \lbrace 1,2\rbrace$, the d$d$‐maximal groups have been classified up to isomorphism and only partial results have been proved for larger d$d$.
Andrea Lucchini +2 more
wiley +1 more source
Sufficient conditions for the solvability and supersolvability in finite groups
Journal of Pure and Applied Algebra, 1984 A finite group G is called an H-r N-group if i) G has even order and ii) each even-ordered subgroup H of G with \(| H|\) the product of r not necessarily distinct primes, is normal in G. The author proves the following results: 1. If G is an H-2 N-group that does not involve \(A_ 4\), then G is supersolvable. 2. If G is an H-2 N-group or an H-3 N-group
openaire +1 more source
On the number of cyclic subgroups of a finite group
, 2018 Let $G$ be a finite group and let $c(G)$ be the number of cyclic subgroups of $G$. We study the function $\alpha(G) = c(G)/|G|$. We explore its basic properties and we point out a connection with the probability of commutation.
Garonzi, Martino, Lima, Igor
core +1 more source
Positions of characters in finite groups and the Taketa inequality [PDF]
, 2014 We define the position of an irreducible complex character of a finite group as an alternative to the degree. We then use this to define three classes of groups: PR-groups, IPR-groups and weak IPR-groups.
Kildetoft, Tobias
core
, 2018 The class of evolving groups is defined and investigated, as well as their connections to examples in the field of Galois cohomology. Evolving groups are proved to be Sylow Tower groups in a rather strong sense.
Stanojkovski, Mima
core +1 more source
Lie algebras with given properties of subalgebras and elements
, 2013 Results about the following classes of finite-dimensional Lie algebras over a field of characteristic zero are presented: anisotropic (i.e., Lie algebras for which each adjoint operator is semisimple), regular (i.e., Lie algebras in which each nonzero ...
AG Gein, DA Towers, S Garibaldi
core +1 more source
Antichain cutsets of strongly connected posets
, 2012 Rival and Zaguia showed that the antichain cutsets of a finite Boolean lattice are exactly the level sets. We show that a similar characterization of antichain cutsets holds for any strongly connected poset of locally finite height.
A Aramova +20 more
core +1 more source
Branes in Anti de Sitter Space-Time [PDF]
, 1998 An intense study of the relationship between certain quantum theories of gravity realized on curved backgrounds and suitable gauge theories, has been originated by a remarkable conjecture put forward by Maldacena almost one year ago.
Trigiante, M.
core +2 more sources
S-Permutability, Semipermutability, c-Normality And c-Permutability Of Subgroups In Finite Groups [PDF]
, 2014 All groups and subgroups considered in this thesis are nite. In this thesis, some new theories and related proofs on S-permutable (also referred to as Sylow per- mutable), semipermutable, c-normal and c-permutable subgroups of a nite group G are ...
Al-Sharo, Doa'a Mustafa
core