Average order in cyclic groups

To give two alternative characterizations of the facial weak order (see Theorem 10): one in terms of root inversion sets of parabolic cosets which extend the notion of inversion sets

We also extend two results of Barry, MacHale, and N´ı Sh´e on the commuting probability in connection with supersolvability of finite groups.. The study of the commuting probability

⊆). However, well-assembled valued digraphs are made of scaffoldings glued together, and scaffoldings are clearly projective. Consequently, it is natural to ask if it is possible

It is a well-known fact that one may turn finite Q-metric spaces into a Fra¨ıss´e class in a countable relational language (by adding a binary predicate for each pos- sibel value of

In this section, we define limit groups over acylindrically hyperbolic groups, discuss some of their prominent properties following the recent work of Groves and Hull [16], and prove

We study the natural density of the set of primes of K having some prescribed Frobenius symbol in Gal(L/K ), and for which the reduction of G has multiplicative order with

Assessment is of fundamental importance in language education. The feedback from the assessment is often used to make improvement in the teaching and learning

However, volumes of limit and market orders are equal in the two latter cases, and we have shown in section 3 that these different shapes can actually be obtained with different