Glasnik matematički, Vol. 49 No. 1, 2014.
Original scientific paper
https://doi.org/10.3336/gm.49.1.08
Finite groups having at most 27 non-normal proper subgroups of non-prime-power order
Jiangtao Shi
; School of Mathematics and Information Science, Yantai University, Yantai 264005, China
Cui Zhang
; Department of Applied Mathematics and Computer Science, Technical University of Denmark, DK-2800 Lyngby, Denmark
Abstract
We prove that any finite group having at most 27 non-normal proper subgroups of non-prime-power order is solvable except for G≅ A5, the alternating group of degree 5.
Keywords
Finite group; solvable group; subgroup of non-prime-power order
Hrčak ID:
122522
URI
Publication date:
8.6.2014.
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