Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Sugandha Maheshwary"'
Publikováno v:
Forum Mathematicum. 35:409-429
The Gruenberg–Kegel graph of a group is the undirected graph whose vertices are those primes which occur as the order of an element of the group, and distinct vertices p, q are joined by an edge whenever the group has an element of order pq. It ref
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::30809294a6c53e2f9bea76151241f0bd
https://doi.org/10.1515/forum-2022-0086
https://doi.org/10.1515/forum-2022-0086
For a finite group $G$ and $U: = U(\mathbb{Z}G)$, the group of units of the integral group ring of $G$, we study the implications of the structure of $G$ on the abelianization $U/U'$ of $U$. We pose questions on the connections between the exponent o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9ae223f964a68e1c26380ef0108e6016
Autor:
Sugandha Maheshwary
The aim of this article is to draw attention towards various natural but unanswered questions related to the lower central series of the unit group of an integral group ring.
Comment: 6 pages
Comment: 6 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e45526ac6b1276b8880e55141713160
The augmentation powers in an integral group ring $\mathbb ZG$ induce a natural filtration of the unit group of $\mathbb ZG$ analogous to the filtration of the group $G$ given by its dimension series $\{D_n(G)\}_{n\ge 1}$. The purpose of the present
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e50f345c76f09b2cfad51d9590e66d8
Publikováno v:
Communications in Algebra. 47:969-977
The object of this paper is to study (infinite) groups whose integral group rings have only trivial central units. This property is closely related to a property, here called the RS-property (see R...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6bbce9d1cb91ba38f6d73708142c94ee
https://doi.org/10.1080/00927872.2018.1498876
https://doi.org/10.1080/00927872.2018.1498876
Publikováno v:
Journal of Pure and Applied Algebra. 221:1955-1965
The object of study in this paper is the finite groups whose integral group rings have only trivial central units. Prime-power groups and metacyclic groups with this property are characterized. Metacyclic groups are also classified according to the c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b83fd2c6844c970d153b21e45936888a
https://doi.org/10.1016/j.jpaa.2016.10.017
https://doi.org/10.1016/j.jpaa.2016.10.017
Autor:
Sugandha Maheshwary, Gurmeet K. Bakshi
Publikováno v:
Journal of Symbolic Computation. 76:97-106
We provide algorithms to compute a complete irredundant set of extremely strong Shoda pairs of a finite group G and the set of primitive central idempotents of the rational group algebra Q G realized by them. These algorithms are also extended to wri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::27566922273f2ea6b7104d8481aa9213
https://doi.org/10.1016/j.jsc.2015.12.002
https://doi.org/10.1016/j.jsc.2015.12.002
Autor:
Sugandha Maheshwary
Publikováno v:
Proceedings of Indian National Science Academy, Vol 49, Iss 1 (2018)
Integral group rings with all central units trivial: Solvable?groups
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doajarticles::9476f262e0c43a244a27e18da5beb131
https://insa.nic.in/writereaddata/UpLoadedFiles/PINSA/Vol49_2018_1_ART12.pdf
https://insa.nic.in/writereaddata/UpLoadedFiles/PINSA/Vol49_2018_1_ART12.pdf
The aim of this article is to explore global and local properties of finite groups whose integral group rings have only trivial central units, so-called cut groups. For such a group we study actions of Galois groups on its character table and show th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bb30e8ccabbe12970d7c703a0bd1575d
Publikováno v:
Group Theory and Computation ISBN: 9789811320460
The object of this paper is to survey the results on the upper central series of the unit groups of integral group rings.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::30eae555655144b85e13a096d26c3616
https://doi.org/10.1007/978-981-13-2047-7_9
https://doi.org/10.1007/978-981-13-2047-7_9