Testing Isomorphism of Central Cayley Graphs Over Almost Simple Groups in Polynomial Time
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DOI: 10.1007/s10958-018-3998-3
Abstract: A Cayley graph over a group G is said to be central if its connection set is a normal subset of G. It is proved that for any two central Cayley graphs over explicitly given… read more here.
Keywords: simple groups; almost simple; time; cayley graphs ... See more keywords
On base sizes for almost simple primitive groups
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DOI: 10.1016/j.jalgebra.2018.08.032
Abstract: Let $G \leqslant {\rm Sym}(\Omega)$ be a finite almost simple primitive permutation group, with socle $G_0$ and point stabilizer $H$. A subset of $\Omega$ is a base for $G$ if its pointwise stabilizer is trivial;… read more here.
Keywords: simple primitive; almost simple; group; base ... See more keywords
Hopf-Galois structures on finite extensions with almost simple Galois group
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DOI: 10.1016/j.jnt.2020.04.003
Abstract: Abstract In this paper, we study the Hopf-Galois structures on a finite Galois extension whose Galois group G is an almost simple group in which the socle A has prime index p. Each Hopf-Galois structure… read more here.
Keywords: almost simple; group; galois group; hopf galois ... See more keywords
Complex group algebras of almost simple unitary groups
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DOI: 10.1080/00927872.2019.1710162
Abstract: Abstract The aim of this article is to contribute to a question of R. Brauer that “when do non-isomorphic groups have isomorphic complex group algebras?” Let H and G be finite groups where and let… read more here.
Keywords: complex group; almost simple; group algebras; group ... See more keywords
Almost simple groups with no product of two primes dividing three character degrees
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DOI: 10.1515/jgth-2018-0188
Abstract: Abstract Let Irr(G){\operatorname{Irr}(G)} denote the set of complex irreducible characters of a finite group G, and let cd(G){\operatorname{cd}(G)} be the set of degrees of the members of Irr(G){\operatorname{Irr}(G)}. For positive integers k and l, we… read more here.
Keywords: groups product; two primes; almost simple; product two ... See more keywords