Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Anitha Thillaisundaram"'
Publikováno v:
International Journal of Group Theory, Vol 12, Iss 4, Pp 237-252 (2023)
Groups associated to surfaces isogenous to a higher product of curves can be characterised by a purely group-theoretic condition, which is the existence of a so-called ramification structure. Gül and Uria-Albizuri showed that quotients of the period
Externí odkaz:
https://doaj.org/article/eb8c2e1c349a45e6ae96e18afa19d0b6
Autor:
Anitha Thillaisundaram
Publikováno v:
International Journal of Group Theory, Vol 1, Iss 2, Pp 59-71 (2012)
A p-group is p-central if the central quotient has exponent p, and G is (p^2)-abelian if (xy)^{p^{2}}=(x^{p^2})(y^{p^2}) for all x,y in G . We prove that for G a finite (p^2)-abelian p-central p-group, excluding certain cases, the order of G divides
Externí odkaz:
https://doaj.org/article/54084489f3404e37bf072b04931a5e47
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
We consider a generalisation of the Basilica group to all odd primes: the $p$-Basilica groups acting on the $p$-adic tree. We show that the $p$-Basilica groups have the $p$-congruence subgroup property but not the congruence subgroup property nor the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8d7d07bea3e7fd6182f8b10668172abb
https://hdl.handle.net/11386/4809331
https://hdl.handle.net/11386/4809331
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:
Journal of Algebra and Its Applications. 22
Groups associated to surfaces isogenous to a higher product of curves can be characterised by a purely group-theoretic condition, which is the existence of a so-called ramification structure. In this paper, we prove that infinitely many quotients of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::931d72d34da8cfd227c18d0c5690a98e
https://doi.org/10.1142/s0219498823500470
https://doi.org/10.1142/s0219498823500470
Let $w$ be a word in $k$ variables. For a finite nilpotent group $G$, a conjecture of Amit states that $N_w(1) \ge |G|^{k-1}$, where $N_w(1)$ is the number of $k$-tuples $(g_1,...,g_k)\in G^{(k)}$ such that $w(g_1,...,g_k)=1$. Currently, this conject
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8ee91b704df2d6b5ed93cf76a0e50a23
https://eprints.lincoln.ac.uk/id/eprint/41522/1/wordproblems20200625.pdf
https://eprints.lincoln.ac.uk/id/eprint/41522/1/wordproblems20200625.pdf
Using wreath products, we construct a finitely generated pro-p group G with infinite normal Hausdorff spectrum with respect to the p-power series. More precisely, we show that this normal Hausdorff spectrum contains an infinite interval; this settles
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da899d70d27ea6451a1f41e61d1ce457
https://eprints.lincoln.ac.uk/id/eprint/36794/1/Normal_spectrum_PJM_181204.pdf
https://eprints.lincoln.ac.uk/id/eprint/36794/1/Normal_spectrum_PJM_181204.pdf
Publikováno v:
Proceedings of the Edinburgh Mathematical Society. 61:673-703
Let $p\ge 3$ be a prime. A generalised multi-edge spinal group is a subgroup of the automorphism group of a regular $p$-adic rooted tree T that is generated by one rooted automorphism and $p$ families of directed automorphisms, each family sharing a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ddfc314337ee03c24535ea1b4112404d
https://doi.org/10.1017/s0013091517000451
https://doi.org/10.1017/s0013091517000451
We show that the Hausdorff dimension of the closure of the second Grigorchuk group is 43/128. Furthermore we establish that the second Grigorchuk group is super strongly fractal and that its automorphism group equals its normaliser in the full automo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::12bda17eeea55eeef23a91d7ce2e975b