Hostname: page-component-8448b6f56d-qsmjn Total loading time: 0 Render date: 2024-04-19T23:39:32.968Z Has data issue: false hasContentIssue false
  • English
  • Français

Finite p-groups with Isomorphic Subgroups

Published online by Cambridge University Press:  20 November 2018

John J. Currano
John J. Currano*
Affiliation:
Roosevelt University, Chicago, Illinois
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Throughout this paper, p will denote a prime and t an integer greater than 1. We consider those finite p-groups P, which satisfy the following conditions:

(1.1) P has subgroups R and Q, both of index p, and there is an isomorphism φ of R onto Q which does not fix any non-identity subgroup of R setwise.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 1 , February 1973 , pp. 1 - 13
Copyright
Copyright © Canadian Mathematical Society 1973

References

1. Currano, J., Conjugate p-subgroups with maximal intersection, Ph.D. Thesis, University of Chicago, 1970.Google Scholar
2. Glauberman, G., Isomorphic subgroups of finite p-groups. I, Can. J. Math. 23 (1971), 983–1022.Google Scholar
3. Gorenstein, D., Finite groups (Harper and Row, New York, 1968).Google Scholar
4. Hall, M., The theory of groups (Macmillan, New York, 1959).Google Scholar
5. Kurosh, A. G., The theory of groups, second English edition, translated by Hirsch, K. A. (Chelsea, New York, 1960).Google Scholar
6. Sims, C. C., Graphs and finite permutation groups, Math. Z. 95 (1967), 76–86.Google Scholar