18 citations · 45 across the 11 of their papers we have counts for
5 papers · 1 filter
Prime and N-Prime graphs of solvable uniformly semi-rational groups
Anu Jindal, Sugandha Maheshwary
In this paper, we study the prime graph, also known as Gruenberg-Kegel graph, realizable by finite solvable uniformly semi-rational groups. This is primarily achieved by classifyin…
Extended cut groups
Àngel García-Blàzquez, Gurleen Kaur, Sugandha Maheshwary
A finite group G is said to be a cut group if all central units in the integral group ring ZG are trivial. In this article, we extend the notion of cut groups, by introducing exten…
Gruenberg-Kegel graphs: cut groups, rational groups and the Prime Graph Question
Andreas Bächle, Ann Kiefer, Sugandha Maheshwary +1
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 , are…
The lower central series of the unit group of an integral group ring
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.
Global and local properties of finite groups with only finitely many central units in their integral group ring
Andreas Bächle, Mauricio Caicedo, Eric Jespers +1
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 grou…