Zobrazeno 1 - 10
of 46
pro vyhledávání: '"G110 Pure Mathematics"'
We investigate fixed-point properties of automorphisms of groups similar to Richard Thompson’s group $$F$$ F . Revisiting work of Gonçalves and Kochloukova, we deduce a cohomological criterion to detect infinite fixed-point sets in the abelianizat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6db40a1caadc661753df2b2b63778c82
https://eprints.lincoln.ac.uk/id/eprint/54130/1/PMLA_ASOT_YSR_ThompsonRinfty_Final.pdf
https://eprints.lincoln.ac.uk/id/eprint/54130/1/PMLA_ASOT_YSR_ThompsonRinfty_Final.pdf
Autor:
Marina Avitabile, Sandro Mattarei
Nottingham algebras are a class of just-infinite-dimensional, modular, $\mathbb{N}$-graded Lie algebras, which includes the graded Lie algebra associated to the Nottingham group with respect to its lower central series. Homogeneous components of a No
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::948ccdb397e437879b57c014a324e508
https://hdl.handle.net/10281/332531
https://hdl.handle.net/10281/332531
Autor:
Khukhro, Evgeny, Shumyatsky, Pavel
Publikováno v:
Israel Journal of Mathematics. 247:303-330
An Engel sink of an element $g$ of a group $G$ is a set ${\mathscr E}(g)$ such that for every $x\in G$ all sufficiently long commutators $[...[[x,g],g],\dots ,g]$ belong to ${\mathscr E}(g)$. (Thus, $g$ is an Engel element precisely when we can choos
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::10e77d2db8b70c9535a96830bdc52fe0
https://doi.org/10.1007/s11856-021-2267-1
https://doi.org/10.1007/s11856-021-2267-1
Publikováno v:
Journal of Algebra. 588:77-117
The algebras of the title are infinite-dimensional graded Lie algebras $L= \bigoplus_{i=1}^{\infty}L_i$, over a field of positive characteristic $p$, which are generated by an element of degree $1$ and an element of degree $p$, and satisfy $[L_i,L_1]
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f34cd715c471cac889f15ac0030f8bb9
https://doi.org/10.1016/j.jalgebra.2021.08.013
https://doi.org/10.1016/j.jalgebra.2021.08.013
Autor:
E.I. Khukhro, W.A. Moens
Let $f(x)$ be a non-zero polynomial with integer coefficients. An automorphism $\varphi$ of a group $G$ is said to satisfy the elementary abelian identity $f(x)$ if the linear transformation induced by $\varphi$ on every characteristic elementary abe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::74bf65c95ea9e35ac2f1aa6f707ddf72
https://eprints.lincoln.ac.uk/id/eprint/50075/1/khu-moe212-JoA.pdf
https://eprints.lincoln.ac.uk/id/eprint/50075/1/khu-moe212-JoA.pdf
Autor:
Sandro Mattarei
Publikováno v:
Communications in Algebra. 50:726-739
A thin Lie algebra is a Lie algebra L, graded over the positive integers, with its first homogeneous component L_1 of dimension two and generating L, and such that each nonzero ideal of L lies between consecutive terms of its lower central series. Al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6612e91a62dcde89ed2a99f6e295c331
https://doi.org/10.1080/00927872.2021.1967368
https://doi.org/10.1080/00927872.2021.1967368
Publikováno v:
Mathematische Nachrichten. 293:1251-1258
The following problem was originally posed by B.H. Neumann and H. Neumann. Suppose that a group $G$ can be generated by $n$ elements and that $H$ is a homomorphic image of $G$. Does there exist, for every generating $n$-tuple $(h_1,\ldots, h_n)$ of $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e5602e5844e733e08e57bcc2070329dd
https://doi.org/10.1002/mana.201900354
https://doi.org/10.1002/mana.201900354
Autor:
Sandro Mattarei
A thin Lie algebras is a Lie algebra $L$, graded over the positive integers, with its first homogeneous component $L_1$ of dimension two and generating $L$, and such that each nonzero ideal of $L$ lies between consecutive terms of its lower central s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::07f836b8d9bc34439a4c0ecb2cd19b1c
https://eprints.lincoln.ac.uk/id/eprint/47908/1/Sandwiches.pdf
https://eprints.lincoln.ac.uk/id/eprint/47908/1/Sandwiches.pdf
The class of multi-EGS groups is a generalisation of the well-known Grigorchuk-Gupta-Sidki (GGS-)groups. Here we classify branch multi-EGS groups with the congruence subgroup property and determine the profinite completion of all branch multi-EGS gro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b759e686c94e4606b642fecc74bea08
https://eprints.lincoln.ac.uk/id/eprint/42730/1/profinitecompletion_multiEGS_20201005.pdf
https://eprints.lincoln.ac.uk/id/eprint/42730/1/profinitecompletion_multiEGS_20201005.pdf
Publikováno v:
Proceedings of the American Mathematical Society. 147:3691-3703
An element g g of a group G G is said to be right Engel if for every x ∈ G x\in G there is a number n = n ( g , x ) n=n(g,x) such that [ g , n x ] = 1 [g,{}_{n}x]=1 . We prove that if a profinite group G G admits a coprime automorphism φ \varphi o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e58d10f78ac0dad28be7bacf436333a6
https://doi.org/10.1090/proc/14519
https://doi.org/10.1090/proc/14519