Results 11 to 20 of about 1,309 (212)
Groups with restricted conjugacy classes [PDF]
, 2002 Let \(\text{FC}^0\) be the class of all finite groups, and for each non-negative integer \(n\) let the class \(\text{FC}^{n+1}\) be defined by induction as the class of all groups \(G\) such that for every element \(x\in G\) the factor group \(G/C_G(\langle x\rangle^G)\) is in \(\text{FC}^n\). The \(\text{FC}^1\)-groups are precisely groups with finite
de Giovanni F., Russo A., Vincenzi G.
openaire +6 more sources
A Tree-Based Model for Addressing Sparsity and Taxa Covariance in Microbiome Compositional Count Data. [PDF]
Stat MedABSTRACT Microbiome compositional data are often high‐dimensional, sparse, and exhibit pervasive cross‐sample heterogeneity. We introduce the “logistic‐tree normal” (LTN) model, a generative model that allows flexible covariance among the microbiome taxa, enables scalable computation, and effectively captures other key characteristics of microbiome ...
Wang Z, Mao J, Ma L.
europepmc +2 more sources
The transitivity of primary conjugacy in regular ω-semigroups
Open Mathematics, 2022 The conjugacy relation plays an important role in group theory and the conjugacy relation of groups has been generalized to semigroups in various methods by several authors.
Liu Xin, Wang Shoufeng
doaj +1 more source
Extending Snow’s algorithm for computations in the finite Weyl groups
Fixed Point Theory and Algorithms for Sciences and Engineering, 2023 In 1990, D. Snow proposed an effective algorithm for computing the orbits of finite Weyl groups. Snow’s algorithm is designed for computation of weights, W-orbits, and elements of the Weyl group. An extension of Snow’s algorithm is proposed, which allows
Rafael Stekolshchik
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 one-prime power hypothesis for conjugacy classes restricted to normal subgroups and quotient groups [PDF]
International Journal of Group Theory, 2019 We say that a group $G$ satisfies the one-prime power hypothesis for conjugacy classes if the greatest common divisor for all pairs of distinct conjugacy class sizes are prime powers.
Julian Brough
doaj +1 more source
On two generation methods for the simple linear group $PSL(3,7)$ [PDF]
AUT Journal of Mathematics and Computing, 2023 A finite group $G$ is said to be \textit{$(l,m, n)$-generated}, if it is a quotient group of the triangle group $T(l,m, n) = \left.$ In [J. Moori, $(p, q, r)$-generations for the Janko groups $J_{1}$ and $J_{2}$, Nova J.
Thekiso Seretlo
doaj +1 more source
Conjugacy Class Representatives in the Monster Group [PDF]
LMS Journal of Computation and Mathematics, 2005 AbstractThe paper describes a procedure for determining (up to algebraic conjugacy) the conjugacy class in which any element of the Monster lies, using computer constructions of representations of the Monster in characteristics 2 and 7. This procedure has been used to calculate explicit representatives for each conjugacy class.
Richard W. Barraclough, Robert A. Wilson
openaire +1 more source
Finite non-nilpotent groups with few non-normal non-cyclic subgroups [PDF]
International Journal of Group Theory, 2017 For a finite group $G$, let $nu_{nc}(G)$ denote the number of conjugacy classes of non-normal non-cyclic subgroups of $G$. We characterize the finite non-nilpotent groups whose all non-normal non-cyclic subgroups are conjugate.
Hamid Mousavi, Zahra Rezazadeh
doaj +1 more source
On conjugacy classes of the F4 group over a field q with characteristic 2
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2022 This article continues a series of papers devoted to solving the problem by which a non-identity conjugacy class in a finite simple non-abelian group contains commuting elements. Previously, this statement was tested for sporadic, projective, alternating
Yurova Nadezhda
doaj +1 more source