Abelian Covers and Non-Commuting Sets in a Non-Abelian p-Group Which its Central Quotient is Metacyclic
Author:
Publisher
Springer Science and Business Media LLC
Subject
Anesthesiology and Pain Medicine
Link
https://link.springer.com/content/pdf/10.1007/s41980-020-00473-8.pdf
Reference19 articles.
1. Abdollahi, A., Azad, A., Hassanabadi, A.M., Zarrin, M.: On the clique numbers of non-commuting graphs of certain groups. Algebra Colloq. 17, 611–620 (2010)
2. Azad, A., Iranmanesh, M.A., Praeger, C.E., Spiga, P.: Abelian coverings of finite general linear groups and an application to their non-commuting graphs. J. Algebr. Comb. 34(4), 683–710 (2011)
3. Barrantes, D., Gill, N., Ramírez, J.: Abelian covers of alternating groups. Arch. Math. (Basel) 107, 135–150 (2016)
4. Beyl, F.R.: Cyclic subgroups of the prime residue group. Am. Math. Mon. 84, 46–48 (1977)
5. Brown, R.: Minimal covers of $$S_n$$ by abelian subgroups and maximal subsets of pairwise non-commuting elements. II. J. Combin. Theory Ser. A 56, 285–289 (1991)
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