The invariably generating graph of the alternating and symmetric groups
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Publication:2208329
DOI10.1515/jgth-2019-0187zbMath1464.05178arXiv1706.08423OpenAlexW3042139246MaRDI QIDQ2208329
Publication date: 2 November 2020
Published in: Journal of Group Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.08423
Conjugacy classes for groups (20E45) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Distance in graphs (05C12) Symmetric groups (20B30)
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On the probability of generating invariably a finite simple group, CONNECTED COMPONENTS IN THE INVARIABLY GENERATING GRAPH OF A FINITE GROUP
Cites Work
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- Finite primitive permutation groups containing a permutation having at most four cycles
- Affine transformations of finite vector spaces with large orders or few cycles.
- Invariable generation and the Chebotarev invariant of a finite group.
- Probabilistic generation of finite simple groups. II.
- Random sets which invariably generate the symmetric group
- Invariable generation of permutation and linear groups
- Probabilistic generation of finite simple groups
- Invariable generation of the symmetric group
- Imprimitive permutations in primitive groups
- Four random permutations conjugated by an adversary generateSnwith high probability
- Simple groups admit Beauville structures
- On Random Generation of the Symmetric Group
- GENERATION OF SECOND MAXIMAL SUBGROUPS AND THE EXISTENCE OF SPECIAL PRIMES
- PRIMITIVE PERMUTATION GROUPS CONTAINING A CYCLE