Glasnik matematički, Vol. 43 No. 2, 2008.
Original scientific paper
https://doi.org/10.3336/gm.43.2.07
Finite nonnilpotent groups with few heights of nonnormal subgroups
Yakov Berkovich
; Department of Mathematics, University of Haifa, Mount Carmel, Haifa 31905, Israel
Abstract
The number of prime factors of the order of a group G (multiplicities counted) is said to be the height of G and denoted by nλ(G). We classify the nonnilpotent groups G with nλ(G) = 2 and nonsolvable groups G with nλ(G) {3,4}.
Keywords
Height; solvable group; Carter subgroup
Hrčak ID:
28899
URI
Publication date:
10.11.2008.
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