[PDF] Top 20 On subgroups of finite exponent in groups
Has 10000 "On subgroups of finite exponent in groups" found on our website. Below are the top 20 most common "On subgroups of finite exponent in groups".
On subgroups of finite exponent in groups
... is proper in G, then G is called non-perfect, and is called perfect otherwise. Recall that a group with the maximal condition on subgroups is called Noetherian. An infinite group with all proper quotients to be ... See full document
7
Finite groups whose minimal subgroups are weakly $\mathcal{H}^{\ast}$-subgroups
... a finite group G under the assumption that the minimal subgroups of G and the cyclic subgroups of order 4 satisfying one of the previously mentioned concepts (recall that a minimal subgroup of G is a ... See full document
11
Intersections of prefrattini subgroups in finite soluble groups
... Zenkov, Intersections of nilpotent subgroups in finite groups, (in Russian) Fundam. Dolfi, Intersections of odd order Hall subgroups, Bull[r] ... See full document
5
On verbal subgroups in finite and profinite groups
... locally finite and has finite ...locally finite. For abstract groups we have a locally finite version of Schur’s Theorem: if K/Z(K) is locally finite, then K ′ is locally ... See full document
13
On finite groups with Hall normally embedded Schmidt subgroups
... A Schmidt group is a non-nilpotent group in which every proper subgroup is nilpotent. O. Y. Schmidt [3] initiated the investigations of such groups. He proved that a Schmidt group is biprimary (i. e. its order is ... See full document
7
Finite groups with semi-subnormal Schmidt subgroups
... Schmidt subgroups contained in a group have a significant influence on the group ...structure. Groups with some restrictions on Schmidt subgroups were investigated in many ...example, groups ... See full document
8
Linear groups saturated by subgroups of finite central dimension
... of subgroups, having finite central dimension, if for every pair of subgroups H, K of G such that H 6 K and H is not maximal in K there exists a subgroup L of finite central dimension such ... See full document
12
Non-nilpotent groups with three conjugacy classes of non-normal subgroups
... non-normal subgroups of ...classified finite groups with ν(G) = ...of finite groups, so many authors work on this concept but mostly in ... See full document
7
On inequalities of subgroups and the structure of finite groups
... of groups by this new kind of inequalities of ...finite groups. In Section , a characterization of supersolubility of groups is given under the assumption that cyclic subgroups of order prime ... See full document
7
On locally finite groups whose cyclic subgroups are \(\mathrm{GNA}\)-subgroups
... of groups whose subgroups are either P -subgroups or AP -subgroups (for example, normal or abnormal ...pronormal subgroups, we naturally obtain the following ... See full document
12
\(\mathbf{S}\)-Embedded subgroups in finite groups
... the subgroups (resp. Sylow subgroups) of ...are subgroups of G such that A is S-permutable in B and B is S-permutable in G, then A is S-permutable in ... See full document
8
On supersolvability of finite groups with $\Bbb P$-subnormal subgroups
... p-subgroups of G/K for any given prime p are P -subnormal. By the inductive hypothesis, G/K is supersolvable, in particular, G/P is supersolvable, and hence G is solvable. Since the class of all supersolvable ... See full document
9
On c-normal and hypercentrally embeded subgroups of finite groups
... p- subgroups of G to determine the structure of ...supersolvable groups), if some subgroups of E with prime power order are c-normal G , then G is supersolvable (or G ∈ F ... See full document
13
On well \(p\)-embedded subgroups of finite groups
... All groups under study in this article are ...quasinormal subgroups were introduced in [10] into the practice of mathematicians for the first ...a groups G is quasinormal in G if H com- mutes with ... See full document
15
On metacyclic subgroups of finite groups
... 2-generator subgroups on the structure of a ...2-generator subgroups in a class X of groups which is subgroup-closed and the minimal non-X-groups are ... See full document
5
Finite groups with cyclic Sylow subgroups for all odd primes
... the automorphism group of S which has odd ordero Since the automorphism group of a cyclic 2-group is itself a cyclic 2-group, we see that N(S) = C(S) . But then G has a normal 2-conplement, by a well-known result of ... See full document
115
A note on \(c\)-normal subgroups of finite groups
... minimal subgroups of Sylow subgroups of G are c-normal in ...maximal subgroups of the Sylow subgroups of G are c-normal in G or all minimal subgroups and all cyclic subgroups ... See full document
11
On finite groups having a certain number of cyclic subgroups
... a finite group and C(G) be the poset of cyclic subgroups of ...the finite group G has | G | − 1 cyclic groups if and only if G is isomorphic to Z 3 , Z 4 , S 3 , or D 8 ... See full document
8
Partially $S$-embedded minimal subgroups of finite groups
... Theorem 3.3. Let F be a saturated formation containing the class of all supersolvable groups U . Then G ∈ F if and only if there is a normal subgroup E of G such that G/E ∈ F and every cyclic subgroup of any ... See full document
10
Finite non-nilpotent groups with few non-normal non-cyclic subgroups
... the Sylow subgroups of G of odd order are non-normal in G. Thus all of their normalizers are cyclic. By Burnside’s theorem, G has a normal q-complement for each odd prime q ∈ π(G). The intersection of all of these ... See full document
6
Related subjects