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Groups generated by k-transvections.

F.G. Timmesfeld (1990)

Inventiones mathematicae

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 $q \geq 7$ .

Displaying 1 – 5 of 5

Groups generated by k-transvections.

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

Groups with a (B, N)-Pair of Rank 2. I.

Groups with a (B, N)-Pair of Rank 2. II.

Groups with the same prime graph as an almost sporadic simple group.

Currently displaying 1 – 5 of 5

Displaying 1 – 5 of 5

Groups generated by k-transvections.

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

Groups with a (B, N)-Pair of Rank 2. I.

Groups with a (B, N)-Pair of Rank 2. II.

Groups with the same prime graph as an almost sporadic simple group.

Currently displaying 1 – 5 of 5

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