3 citations · 3 across the 6 of their papers we have counts for
6 papers
A consistency theorem for cardinal sequences of length
Juan Carlos Martínez, Lajos Soukup
We prove that if is a fixed uncountable cardinal and $f = \langle \ka_{\al} : \al < δ\rangle$ is a sequence of infinite cardinals where and $\ka_{\al}\in \{\om,λ\}$ fo…
Supersolvability and nilpotency in terms of the commuting probability and the average character degree
Juan Martínez
Let be a prime and let be a finite group such that the smallest prime that divides is . We find sharp bounds, depending on , for the commuting probability and t…
Conjugacy classes of -elements and nilpotent/abelian Hall -subgroups
N. N. Hung, A. Maróti, J. Martínez
Let be a finite group and be a set of primes. We study finite groups with a large number of conjugacy classes of -elements. In particular, we obtain precise lower bounds…
Groups with small multiplicities of fields of values of irreducible characters
Juan Martínez
In this work, we classify all finite groups such that for every field extension F of \mathbb{Q}, F is the field of values of at most 3 irreducible characters.
Constructions of Lindelöf scattered P-spaces
Juan Carlos Martínez, Lajos Soukup
We construct locally Lindelöf scattered P-spaces (LLSP spaces, in short) with prescribed widths and heights under different set-theoretic assumptions. We prove that there is an LLS…
On cardinal sequences of length < omega3
Juan Carlos Martínez, Lajos Soukup
We prove the following consistency result for cardinal sequences of length $< \om_3$: if GCH holds and $\la \geq \om_2$ is a regular cardinal, then in some cardinal-preserving gene…