In the current section of my textbook, a bunch of verbal compositions was introduced, like: 読み終わり 歩き始め 祈り続け
終わり and 続け are classified as auxiliary verbs on jisho: http://jisho.org/search/%E3%81%AF%E3%81%98%E3%82%81 http://jisho.org/search/%E3%81%8A%E3%82%8F%E3%82%8B
始める isn't http://jisho.org/search/hajimeru
My actual question relates to this sentence: 一郎さんはやっと本を読み終わりました。 => Ichiro has finally finished the book.
What irritates me in this sentence is that 終わり is used in a transitive verb. Is the transitivity/intransitivity of a verb negligible if it is used in a composition? If so, is this phenomenon restricted to a set of (very common) compositions?
Furthermore, I would be interested wether this is only typical for verbs which (also) bear the classification "auxiliary verb"? 始める isn't classified as an auxiliary verb though.
Do auxiliary verbs always function as parts of a verbal composition btw.? This would be important to know because in our western languages, auxiliary verbs usually are used in "analytical" (I hope that's the correct english term) constructions (e.g. "I will build a house"; The auxiliary verb is not directly attached to the main verb and remains its own unit/entity in the sentence).
EDIT: This question revolves around the issue of transitivity in context of verbal compositions in common. It asks wether there is a set of grammatical prerequisites for a verb of intransitivity/transitivity to be used in a verbal composition of the opposite transitivity (That is: Transitive -> Intransitive; Intransitive -> Transitive).