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Communications in Algebra Volume 51, 2023 - Issue 7
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Research Articles

Conjugacy classes of small size in solvable groups

Alexander MoretóDepartament de Matemàtiques, Universitat de València, Burjassot, València, SpainCorrespondence[email protected]
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Pages 3051-3055 | Received 12 Sep 2022, Accepted 23 Jan 2023, Published online: 11 Feb 2023

References

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  • Gorenstein, D. (1980). Finite Groups. Providence, RI: Chelsea Publishing Company.
  • Isaacs, M. (2008). Subgroups generated by small classes in finite groups. Proc. Am. Math. Soc. 136:2299–2301. DOI: 10.1090/S0002-9939-08-09263-0.
  • Ishikawa, K. (2002). On finite p-groups which have only two conjugacy lengths. Israel. J. Math. 129:119–123. DOI: 10.1007/BF02773158.
  • Itô, N. (1953). On finite groups with given conjugate types. I. Nagoya Math. J. 6:17–28. DOI: 10.1017/S0027763000016937.
  • Mann, A. (2004). Groups with few class sizes and the centraliser equality subgroup. Israel J. Math. 142:367–380. DOI: 10.1007/BF02771541.
  • Mann, A. (2008). Conjugacy class sizes in finite groups. J. Aust. Math. Soc. 85:251–255. DOI: 10.1017/S1446788708000906.
  • Mann, A. (2009). Correction to “Conjugacy class sizes in finite groups”. J. Aust. Math. Soc. 87:429–430. DOI: 10.1017/S1446788709000366.
  • Yadav, M. K. (2013). On subgroups generated by small classes in finite groups. Commun. Algebra 41:3350–3354. DOI: 10.1080/00927872.2012.686126.

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