id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ijassa-1345	Blagoveshchenskaya, Ekaterina; Mikulik, Ilya	Butler Group Direct Decomposition Classification With Applications to Parallel Algorithms	2023	11	.pdf	application/pdf	6336	371	72	Let X = X1 ⊕X2 and X = X ′ 1 ⊕X ′ 2 be two decompositions with indecomposable summands X1, X ′ 1 and let Tcr(X1) ∩ Tcr(X ′ 1) It is shown in [5, Lemma 2.2] that mτ (X) do not depend on the choice of element b and serve as invariants of group X .	cache/ijassa-1345.pdf	txt/ijassa-1345.txt