Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Heguo, Liu"'
Autor:
Xiaoliang Luo, Heguo Liu
Publikováno v:
Frontiers of Mathematics. 18:707-716
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ce1faa9c2edcca76ed22df0955239634
https://doi.org/10.1007/s11464-021-0494-8
https://doi.org/10.1007/s11464-021-0494-8
Publikováno v:
The Electronic Journal of Linear Algebra. :457-462
For an $n\times n$ matrix $M$, $\sigma(M)$ denotes the set of all different eigenvalues of $M$. In this paper, we will prove two results on the $m$-th $(m\geq2)$ roots of a matrix $A$. Firstly, let $X$ be an $m$-th root of $A$. Then $X$ can be expres
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::14fe9851b5a545be9bde1b6325563e66
https://doi.org/10.13001/ela.2022.7047
https://doi.org/10.13001/ela.2022.7047
Publikováno v:
Algebra Colloquium. 30:155-164
Let [Formula: see text] be a completely decomposable homogeneous torsion-free abelian group of rank [Formula: see text] ([Formula: see text]). Let [Formula: see text] be the split extension of [Formula: see text] by an automorphism [Formula: see text
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::10a0218a6df3cbea143f2f2af02ab032
https://doi.org/10.1142/s1005386723000123
https://doi.org/10.1142/s1005386723000123
Publikováno v:
Linear Algebra and its Applications. 602:240-251
For n ≥ 1 , the group U 6 n = 〈 a , b : a 2 n = b 3 = 1 , a − 1 b a = b − 1 〉 has order 6n. We prove that there is no orthogonal basis of decomposable symmetrized tensors for the symmetry classes of tensors associated with the non-linear ir
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fb0ed764307d435d9c33ce792536fbee
https://doi.org/10.1016/j.laa.2020.05.016
https://doi.org/10.1016/j.laa.2020.05.016
Publikováno v:
Czechoslovak Mathematical Journal. 70:1161-1165
Let α and β be automorphisms of a nilpotent p-group G of finite rank. Suppose that 〈(αβ(g))(βα(g))–1: g ∈G〉 is a finite cyclic subgroup of G, then, exclusively, one of the following statements holds for G and Γ, where Γ is the group g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7aedbdcdb458379dbca84d793572821e
https://doi.org/10.21136/cmj.2020.0262-19
https://doi.org/10.21136/cmj.2020.0262-19
Autor:
Yulei Wang, Heguo Liu
Publikováno v:
Journal of Algebra and Its Applications. 22
Let p be a prime and let F be a finite field of characteristic p. Let FG denote the group algebra of the finite p-group G over the field F and let [Formula: see text] denote the group of normalized units in FG. The anti-automorphism [Formula: see tex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ccfecfaf7e1e388cae5a69be2ccc02f2
https://doi.org/10.1142/s0219498823500433
https://doi.org/10.1142/s0219498823500433
Publikováno v:
In Acta Mathematica Scientia 2010 30(5):1769-1775
Publikováno v:
Frontiers of Mathematics in China. 14:1367-1373
Let G be a group, and let α be a regular automorphism of order p2 of G, where p is a prime. If G is polycyclic-by-finite and the map φ: G → G defined by gφ = [g, α] is surjective, then G is soluble. If G is polycyclic, then CG(αp) and G/[G, α
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b3c4badf428590cdb8a069c3e9df4099
https://doi.org/10.1007/s11464-019-0790-8
https://doi.org/10.1007/s11464-019-0790-8
Publikováno v:
Algebra Colloquium. 26:401-410
Let D be a principal ideal domain (PID) and M be a module over D. We prove the following two dual results: (i) If M is finitely generated and x, y are two elements in M such that [Formula: see text], then there exists an automorphism α of M such tha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9ab6f77a855ba5eef869d589138bea01
https://doi.org/10.1142/s1005386719000294
https://doi.org/10.1142/s1005386719000294
Autor:
Heguo Liu, Yulei Wang
Publikováno v:
Chinese Annals of Mathematics, Series B. 40:613-642
Let G be a finite p-group with a cyclic Frattini subgroup. In this paper, the automorphism group of G is determined.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3f6cd1d82c5282674e45cb060b635381
https://doi.org/10.1007/s11401-019-0155-3
https://doi.org/10.1007/s11401-019-0155-3