1 citations · 1 across the 2 of their papers we have counts for
4 papers
On the modular isomorphism problem for groups of nilpotency class 2 with cyclic center
Diego García-Lucas, Leo Margolis
We show that the modular isomorphism problem has a positive answer for groups of nilpotency class 2 with cyclic center, i.e. that for such p-groups G and H an isomorphism between t…
The Gruenberg-Kegel graph of finite solvable rational groups
Sara C. Debón, Diego García-Lucas, Ángel del Río
A finite group is said to be rational if every character of is rational-valued. The Gruenberg-Kegel graph of a finite group is the undirected graph whose vertices are t…
A reduction theorem for the isomorphism problem of group algebras over fields
Diego García-Lucas, Ángel del Río
We prove that the isomorphism problem for group algebras reduces to group algebras over finite extensions of the prime field. In particular, the modular isomorphism problem reduces…
On group invariants determined by modular group algebras: even versus odd characteristic
Diego García-Lucas, Ángel del Río, Mima Stanojkovski
Let be a an odd prime and let be a finite -group with cyclic commutator subgroup . We prove that the exponent and the abelianization of the centralizer of in $G…