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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
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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.

Information

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

References

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