Glasnik matematički, Vol. 50 No. 1, 2015.
Original scientific paper
https://doi.org/10.3336/gm.50.1.08
Classification of finite p-groups with cyclic intersection of any two distinct conjugate subgroups
Zvonimir Janko
; Mathematical Institute, University of Heidelberg , 69120 Heidelberg, Germany
Abstract
We give a complete classification of non-Dedekindian finite p-groups in which any two distinct conjugate subgroups have cyclic intersection (Theorems A, B and C).
Keywords
Finite p-groups; 2-groups of maximal class; Dedekindian p-groups; ordinary quaternion group; maximal non-normal subgroups; conjugate subgroups
Hrčak ID:
140089
URI
Publication date:
15.6.2015.
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