Search results for "Subgroup C"
showing 3 items of 3 documents
Body composition and nutrition of female athletes
2019
Background. The somatic features of the athletes’ bodies partially determine their sporting level and are conditioned to a large extent by the state of nutrition. Objective. The aim of this paper is to present nutritional status and its correlation with the somatic determinants of training athletes and physical education students. Material and methods. This study involved 12 weightlifting players (subgroup-WL), 15 soccer players (subgroup-SP), 12 table tennis players (subgroup-TT) and 12 female students of physical education (subgroup-C). In all subjects, the age and somatic variables were recorded and the daily intake of energy, water, proteins, fats and carbohydrates was determined by 24-…
On the Deskins index complex of a maximal subgroup of a finite group
1999
AbstractLet M be a maximal subgroup of a finite group G. A subgroup C of G is said to be a completion of M in G if C is not contained in M while every proper subgroup of C which is normal in G is contained in M. The set, I(M), of all completions of M is called the index complex of M in G. Set P(M) = {C ϵ I(M) ¦ C} is maximal in I(M) and G = CM. The purpose of this note is to prove: A finite group G is solvable if and only if, for each maximal subgroup M of G, P(M) contains element C with CK(C) nilpotent.
Verbal sets and cyclic coverings
2010
Abstract We consider groups G such that the set of all values of a fixed word w in G is covered by a finite set of cyclic subgroups. Fernandez-Alcober and Shumyatsky studied such groups in the case when w is the word [ x 1 , x 2 ] , and proved that in this case the corresponding verbal subgroup G ′ is either cyclic or finite. Answering a question asked by them, we show that this is far from being the general rule. However, we prove a weaker form of their result in the case when w is either a lower commutator word or a non-commutator word, showing that in the given hypothesis the verbal subgroup w ( G ) must be finite-by-cyclic. Even this weaker conclusion is not universally valid: it fails …