Let G be a sp-group such that for every prime p, Gp is elementary. We show that End Z (G) is
a sp-group and every subring R of∏ End Z (G p), containing⊕ End Z (G p) is pure if and …

Suppose p is a prime, S is a finite p-group, and B is a subgroup of S of order pn and class at
most c. Does S possess a normal subgroup of order pn and class at most c? J. Alperin …

SP-GROUPS AND THEIR ENDOMORPHISM RINGS PA Krylov, AA Tuganbaev, and AV Tsarev
UDC 512.541 Page 1 Journal of Mathematical Sciences, Vol. 256, No. 3, July, 2021 …

Let H and B be subgroups of a finite group G such that G= NG (H) B. Then we say that H is
quasipermutable (respectively, S-quasipermutable) in G provided H permutes with B and …

Let G be a finite group, H a subgroup of G and pa prime number. We say that H is weakly sp-
permutable in G if G has a subnormal subgroup K such that G= HK, H s G≤ K and| H∩ K: H …

A subgroup H of a group G is said to permute with the subgroup K of G if HK= KH.
Subgroups H and K are mutually permutable (totally permutable) in G if every subgroup of H …

A ring R is (right) strongly prime (SP) if every nonzero two sided ideal contains a finite set
whose right annihilator is zero, SP rings have been studied by Handelman and Lawrence …

Full article: Finite groups with complemented minimal p-subgroups Skip to Main Content
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All groups considered in this paper are finite. A subgroup H of a group G is called a primitive
subgroup if it is a proper subgroup in the intersection of all subgroups of G containing H as a …

Let M be a normal subgroup of a finite group G such that| G/M|= pm and| M/Z (M, G)|= pn. In
this paper, we characterize all the pairs of groups (M, G) which satisfy the conditions …