[HTML][HTML] On finite permutation groups of rank three
The classification of the finite primitive permutation groups of rank 3 was completed in the
1980s and this landmark achievement has found a wide range of applications. In the …
1980s and this landmark achievement has found a wide range of applications. In the …
The distinguishing number of quasiprimitive and semiprimitive groups
A Devillers, L Morgan, S Harper - Archiv der Mathematik, 2019 - Springer
The distinguishing number of G\leqslant Sym (Ω) G⩽ Sym (Ω) is the smallest size of a
partition of Ω Ω such that only the identity of G fixes all the parts of the partition. Extending …
partition of Ω Ω such that only the identity of G fixes all the parts of the partition. Extending …
Finite semiprimitive permutation groups of rank
CH Li, H Yi, YZ Zhu - arXiv preprint arXiv:2412.03168, 2024 - arxiv.org
A transitive permutation group is said to be semiprimitive if each of its normal subgroups is
either semiregular or transitive. The class of semiprimitive groups properly contains primitive …
either semiregular or transitive. The class of semiprimitive groups properly contains primitive …
[PDF][PDF] Bochert's results on the minimal degree of multiply transitive permutation groups
B Schomburg - arXiv preprint arXiv:2209.12049, 2022 - arxiv.org
arXiv:2209.12049v1 [math.GR] 24 Sep 2022 Page 1 arXiv:2209.12049v1 [math.GR] 24 Sep
2022 BOCHERT’S RESULTS ON THE MINIMAL DEGREE OF MULTIPLY TRANSITIVE …
2022 BOCHERT’S RESULTS ON THE MINIMAL DEGREE OF MULTIPLY TRANSITIVE …
[PDF][PDF] Composition factors of groups and factors of their order
M Krings - 2022 - publications.rwth-aachen.de
Let T be a finite simple group. For a finite group G, we determine an upper bound on the
number cT (G) of composition factors of G that are isomorphic to T. We consider this problem …
number cT (G) of composition factors of G that are isomorphic to T. We consider this problem …
[PDF][PDF] quasiprimitive and semiprimitive groups. Archiv der Mathematik, 113 (2), 127-139. https://doi. org/10.1007/s00013-019-01324-7
A Devillers, L Morgan, S Harper - 2019 - core.ac.uk
The distinguishing number of G⩽ Sym (Ω) is the smallest size of a partition of Ω such that
only the identity of G fixes all the parts of the partition. Extending earlier results of Cameron …
only the identity of G fixes all the parts of the partition. Extending earlier results of Cameron …
[PDF][PDF] number of quasiprimitive and semiprimitive groups. Archiv der Mathematik, 113 (2), 127-139. https://doi. org/10.1007/s00013-019
A Devillers, L Morgan, S Harper - 2019 - research-information.bris.ac.uk
The distinguishing number of G⩽ Sym (Ω) is the smallest size of a partition of Ω such that
only the identity of G fixes all the parts of the partition. Extending earlier results of Cameron …
only the identity of G fixes all the parts of the partition. Extending earlier results of Cameron …