Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Andrea Caranti"'
Publikováno v:
International Journal of Group Theory, Vol 10, Iss 3, Pp 149-157 (2021)
We record for reference a detailed description of the automorphism groups of the groups of order $p^{2}q$, where $p$ and $q$ are distinct primes.
Externí odkaz:
https://doaj.org/article/d39918ce0369414ba6d789424b3083fe
Autor:
Andrea Caranti
Publikováno v:
Journal of Algebra. 562:647-665
L. Childs has defined a skew brace $(G, \cdot, \circ)$ to be a bi-skew brace if $(G, \circ, \cdot)$ is also a skew brace, and has given applications of this concept to the equivalent theory of Hopf-Galois structures. The goal of this paper is to deal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::76c835048b40addd359a93f1a2788f8b
https://doi.org/10.1016/j.jalgebra.2020.07.006
https://doi.org/10.1016/j.jalgebra.2020.07.006
Autor:
Andrea Caranti
Publikováno v:
Journal of Algebra. 516:352-372
$\DeclareMathOperator{\Hol}{Hol}$$\DeclareMathOperator{\Aut}{Aut}$$\newcommand{\Gp}[0]{\mathcal{G}(p)}$$\newcommand{\Size}[1]{\left\lvert #1 \right\rvert}$Let $G$ be a group, and $S(G)$ be the group of permutations on the set $G$. The (abstract) holo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::38a4ff83b796729ef2a65d80e272dc66
https://doi.org/10.1016/j.jalgebra.2018.09.031
https://doi.org/10.1016/j.jalgebra.2018.09.031
Autor:
Andrea Caranti, L. Stefanello
The interplay between set-theoretic solutions of the Yang--Baxter equation of Mathematical Physics, skew braces, regular subgroups, and Hopf--Galois structures has spawned a considerable body of literature in recent years. In a recent paper, Alan Koc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1ce20db504b40790c725bcfbcf1af330
$\DeclareMathOperator{\Aut}{Aut}$Let $p, q$ be distinct primes, with $p > 2$. We classify the Hopf-Galois structures on Galois extensions of degree $p^{2} q$, such that the Sylow $p$-subgroups of the Galois group are cyclic. This we do, according to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe2b0b87c9072a69722012829d13eddb
http://hdl.handle.net/11568/1042702
http://hdl.handle.net/11568/1042702
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -). 196:1-17
We define a cipher that is an extension of GOST, and study the permutation group generated by its round functions. We show that, under minimal assumptions on the components of the cipher, this group is the alternating group on the plaintext space. Th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f770ef41f8ef8c25b313aab7da9df71b
https://doi.org/10.1007/s10231-016-0559-6
https://doi.org/10.1007/s10231-016-0559-6
Autor:
F. Dalla Volta, Andrea Caranti
S. S. Magliveras et al. have described symmetric and public key cryptosystems based on logarithmic signatures (also known as group bases) for finite permutation groups. In this paper we show that if $G$ is a nontrivial finite group which is not cycli
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::db90fb421cb7d7a9b485b8f23f60df59
http://arxiv.org/abs/1811.05866
http://arxiv.org/abs/1811.05866
Autor:
Andrea Caranti, F. Dalla Volta
W.H.~Mills has determined, for a finitely generated abelian group $G$, the regular subgroups $N \cong G$ of $S(G)$, the group of permutations on the set $G$, which have the same holomorph of $G$, that is, such that $N_{S(G)}(N) = N_{S(G)}(\rho(G))$,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bef8640002c80af050de9b78da848f7b
Autor:
Andrea Caranti, F. Dalla Volta
We describe the groups that have the same holomorph as a finite perfect group. Our results are complete for centerless groups. When the center is non-trivial, some questions remain open. The peculiarities of the general case are illustrated by a coup
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c0e8ba62ba681f0552ec16f0b415d5be
Publikováno v:
Transactions of the American Mathematical Society. 364:3675-3684
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4ed99be7f87a3c30aaf208531c44fa8b
https://doi.org/10.1090/s0002-9947-2012-05503-6
https://doi.org/10.1090/s0002-9947-2012-05503-6