EUDML

Groups with only two nonlinear non-faithful irreducible characters

Xiaoyou Chen; Mark L. Lewis — 2019

Czechoslovak Mathematical Journal

We determine the groups with exactly two nonlinear non-faithful irreducible characters whose kernels intersect trivially.

Groups satisfying the two-prime hypothesis with a composition factor isomorphic to PSL $_{2} (q)$ for $q \geq 7$

Mark L. Lewis; Yanjun Liu; Hung P. Tong-Viet — 2018

Czechoslovak Mathematical Journal

Let $G$ be a finite group and write $cd (G)$ for the degree set of the complex irreducible characters of $G$ . The group $G$ is said to satisfy the two-prime hypothesis if for any distinct degrees $a, b \in cd (G)$ , the total number of (not necessarily different) primes of the greatest common divisor $gcd (a, b)$ is at most $2$ . We prove an upper bound on the number of irreducible character degrees of a nonsolvable group that has a composition factor isomorphic to PSL $_{2} (q)$ for $q \geq 7$ .

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Groups with only two nonlinear non-faithful irreducible characters

Groups satisfying the two-prime hypothesis with a composition factor isomorphic to PSL $_{2} (q)$ for $q \geq 7$

Advanced Search

Formula preview

Currently displaying 1 – 2 of 2

Groups with only two nonlinear non-faithful irreducible characters

Groups satisfying the two-prime hypothesis with a composition factor isomorphic to PSL 2 ( q ) for q ≥ 7

Groups satisfying the two-prime hypothesis with a composition factor isomorphic to PSL $_{2} (q)$ for $q \geq 7$