The hyperquasicenter of a finite group. II
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- by N. P. Mukherjee PDF
- Proc. Amer. Math. Soc. 32 (1972), 24-28 Request permission
Abstract:
The role of Theorem B of Hall and Higman has been explained in detail to complete the proof of the fact that the hyperquasicenter is the largest supersolvably immersed subgroup. Other results included contain some sufficient conditions for supersolvability of a group and for the nontriviality of its center.References
- Oystein Ore, Contributions to the theory of groups of finite order, Duke Math. J. 5 (1939), no. 2, 431–460. MR 1546136, DOI 10.1215/S0012-7094-39-00537-5
- P. Hall and Graham Higman, On the $p$-length of $p$-soluble groups and reduction theorems for Burnside’s problem, Proc. London Math. Soc. (3) 6 (1956), 1–42. MR 72872, DOI 10.1112/plms/s3-6.1.1
- N. P. Mukherjee, The hyperquasicenter of a finite group. I, Proc. Amer. Math. Soc. 26 (1970), 239–243. MR 268267, DOI 10.1090/S0002-9939-1970-0268267-1
- Reinhold Baer, Principal factors, maximal subgroups and conditional identities of finite groups, Illinois J. Math. 13 (1969), 1–52. MR 237652
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 32 (1972), 24-28
- MSC: Primary 20D99
- DOI: https://doi.org/10.1090/S0002-9939-1972-0296155-5
- MathSciNet review: 0296155