59 citations
- Martin Milanič3 profiles8 · h 22
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- University of LjubljanaSI28 papers
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4 papers · 1 filter
Invariable generation of finite simple groups and rational homology of coset posets
Robert M. Guralnick, John Shareshian, Russ Woodroofe
We show that every finite simple group is generated invariably by a Sylow subgroup and a cyclic group. It follows that that the order complex of the coset poset of an arbitrary fin…
On finite groups with prescribed two-generator subgroups and integral Cayley graphs
Yan-Quan Feng, István Kovács
In this paper, we characterize the finite groups of even order with the property that for any involution and element of , is isomorphic to one…
Imprimitive Permutations in Primitive Groups
J. Araújo, J. P. Araújo, P. J. Cameron +3
The goal of this paper is to study primitive groups that are contained in the union of maximal (in the symmetric group) imprimitive groups. The study of types of permutations that…
Groups of order at most 6 000 generated by two elements, one of which is an involution, and related structures
Primož Potočnik, Pablo Spiga, Gabriel Verret
A (2,*)-group is a group that can be generated by two elements, one of which is an involution. We describe the method we have used to produce a census of all (2,*)-groups of order…