Results 71 to 80 of about 2,545 (225)
On the cohomology of finite‐dimensional nilpotent groups and Lie rings
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley +1 more source
Conjugacy Separability of Some One-Relator Groups
International Journal of Mathematics and Mathematical Sciences, 2010 Conjugacy separability of any group of the class of one-relator groups given by the presentation ⟨𝑎,𝑏;[𝑎𝑚,𝑏𝑛]=1⟩(𝑚,𝑛>1) is proven. The proof made used of theoretical combinatorial group methods, namely the structure of amalgamated free products and some ...
D. Tieudjo, D. I. Moldavanskii
doaj +1 more source
Groups with many Subgroups which are Commensurable with some Normal Subgroup [PDF]
Advances in Group Theory and Applications, 2019 A subgroup H of a group G is called commensurable with a normal subgroup (cn) if there is N C G such that |HN/(H ∩ N)| is finite. We characterize generalized radical groups G which have one of the following finiteness conditions: (A) the minimal ...
Ulderico Dardano, Silvana Rinauro
doaj +1 more source
On the number of prime divisors of character degrees and conjugacy classes of a finite group
Comptes Rendus. Mathématique, 2022 A result of Gluck is that any finite group $G$ has an abelian subgroup $A$ such that $|G : A|$ is bounded by a polynomial function of the largest irreducible character degree of $G$. Moretó presented a variation of this result that looks at the number of
Yang, Yong
doaj +1 more source
Groups with boundedly Černikov conjugacy classes
Advances in Group Theory and Applications, 2021 Summary: A relevant theorem of B. H. Neumann states that if a group \(G\) has boundedly finite conjugacy classes, then its commutator subgroup \(G'\) is finite. This result has been generalized in [\textit{E. Detomi} et al., Glasg. Math. J. 63, No. 1, 54--58 (2021; Zbl 1530.20084)], where it is proved in particular that if the orbits of a group \(G ...
M. De Falco +3 more
openaire +4 more sources
The N‐prime graph and the Subgroup Isomorphism Problem
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We introduce a directed graph related to a group G$G$, which we call the N‐prime graph ΓN(G)$\Gamma _{\rm {N}}(G)$ of G$G$ and is a refinement of the classical Gruenberg–Kegel graph. The vertices of ΓN(G)$\Gamma _{\rm {N}}(G)$ are the primes p$p$ such that G$G$ has an element of order p$p$, and, for distinct vertices p$p$ and q$q$, the arc q→p$
Emanuele Pacifici +2 more
wiley +1 more source
Conjugacy class conditions in locally compact second countable groups
, 2015 Many non-locally compact second countable groups admit a co- meagre conjugacy class. For example, this is the case for S∞, Aut(ℚ,
Phillip Wesolek, Wesolek, Phillip
core +1 more source
Periodic Orbits with Least Period Three on the Circle
Fixed Point Theory and Applications, 2008 The self-maps on the circle having periodic orbits with least period 3 are classified into relative homotopy-conjugacy classes. We will show that except for the maps in one exceptional class, all these kinds of maps have periodic orbits with all least ...
Xuezhi Zhao
doaj +2 more sources
On conjugacy classes of the homomorphic images of a certain Bianchi group
Kuwait Journal of Science, 2017 In this paper, we classify the conjugacy classes of the action of PSL₂(O₂) on the projective line over finite fields, PL(F_{p}), where p is the M-S prime, by using the method of parametrization and investigate the behavoior of coset diagrams of these ...
Umar Shoaib
doaj
Sign Conjugacy Classes of the Symmetric Groups [PDF]
The Electronic Journal of Combinatorics, 2015 A conjugacy class $C$ of a finite group $G$ is a sign conjugacy class if every irreducible character of $G$ takes value 0, 1 or -1 on $C$. In this paper we classify the sign conjugacy classes of the symmetric groups and thereby verify a conjecture of Olsson.
openaire +3 more sources