الفهرس 
General introductionOnly 14 pages are availabe for public view
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Abstract
A maximal chain in a finite lattice L is called smooth if any two intervals of
the same length are isomorphic. We say that a finite group G is totally smooth if
all maximal chains in its subgroup lattice L(G) are smooth. A finite group G is
said to be mutually permutable product of the subgroups H and K if G= HK and
H permutes with every subgroup of K and K permutes with every subgroup of
H. A finite group G is said to be mutually m-permutable product of the
subgroups H and K if G= HK and H permutes with every maximal subgroup of
K and K permutes with every maximal subgroup of H.
This thesis is devoted to study the structure of a finite group G with totally
smooth maximal subgroups and one of the following holds.
i) G is mutually permutable product of two subgroups.
ii) G is mutually m-permutable product of two subgroups.
iii) G has a permutable subgroup of prime order.