AbstractOn 1 September 2021, the Danish Supreme Court banned gang Loyal to Familia (LTF) because it had an illegal aim and was therefore classified as association. This sentence marks a new understanding of material limits constitutional freedom It third ban association, first association that did not have overthrowing democracy. Using court transcripts, this article describes contents major th...

Suppose that G = S acts freely on a finitistic space X whose mod p cohomology ring isomorphic to that of a lens space L(p; q1, . . . , qm). In this paper, we determine the mod p cohomology ring of the orbit space X/G. If the characteristic class α ǫH(X/G;Zp) of the S -bundle S →֒ X → X/G is nonzero, then the mod p index of the action is defined to be the largest integer n such that α 6= 0. We al...

Let p be a prime, and let f (x) be an integer-valued polynomial. By a combinatorial approach, we obtain a nontrivial lower bound of the p-adic order of the sum k≡r (mod p β) n k (−1) k f k − r p α , where α β 0, n p α−1 and r ∈ Z. This polynomial extension of Fleck's congruence has various backgrounds and several consequences such as k≡r (mod p α) n k a k ≡ 0 mod p n−p α−1 ϕ(p α) provided that ...