行くまい

will not go, intend not to go

→ 行く
行く to go + まい Negative conjectural/volitional
verb Rare #40,449
will not go, intend not to go A somewhat formal or literary negative form; in everyday speech, 行かない is more common.
JA: 今日はもう行くまい。
EN: I won't go today.
Conjugation of 行く

行こうか行くまいか、迷うなぁ。

I can't decide whether to go or not.

あなたが行こうが行くまいが、ぼくは少しもかまわない。

I don't care in the least whether you go or not.

行くまいと決めた。

I decided not to go.