On the nonexistence of groups with extra-special commutator subgroup
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- by Michael D. Miller
- Proc. Amer. Math. Soc. 56 (1976), 16-18
- DOI: https://doi.org/10.1090/S0002-9939-1976-0401908-X
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Abstract:
In this paper, we extend a result of Joseph and Finkelstein and show that there is no group $G$ such that $G’$ is an extra-special $p$-group of exponent $> p$ ($p$ odd).References
- Daniel Gorenstein, Finite groups, Harper & Row, Publishers, New York-London, 1968. MR 0231903 L. Finkelstein and K. Joseph, Groups whose commutator subgroup is an extra-special $p$-group (unpublished).
- I. D. Macdonald, On cyclic commutator subgroups, J. London Math. Soc. 38 (1963), 419–422. MR 162839, DOI 10.1112/jlms/s1-38.1.419
- W. R. Scott, Group theory, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964. MR 0167513
Bibliographic Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 56 (1976), 16-18
- MSC: Primary 20D15
- DOI: https://doi.org/10.1090/S0002-9939-1976-0401908-X
- MathSciNet review: 0401908